if f(x)=1/x+2 what is f(3+h)?

Answers

Answer 1

If x is the only thing in the denominator, then,

[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]

We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.

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Or if the "x+2" is in the denominator, then we have these steps:

[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]


Related Questions

Select Is a Function or Is not a Function to correctly classify each relation.

Is a Function Is not a Function
{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }

Answers

Answer:

1. Yes, is a function {(2, 2),(4, 4),(6, 6),(8, 8)}

2. Yes, is a function {(0, 3),(3, 5),(5, 6),(8, 4)}

3. Yes, is a function {(1, 2),(3, 3),(4, 8),(6, 3)}

4. No, not a function {(3, 4),(5, 2),(5, 6),(7, 3)}

Step-by-step explanation:

1. Since there is one value of y for every value of x in  {(2, 2),(4, 4),(6, 6),(8, 8)} , this relation is a function.

2. Since there is one value of y for every value of x in {(0, 3),(3, 5),(5, 6),(8, 4)}, this relation is a function.

3. Since there is one value of y for every value of x in {(1, 2),(3, 3),(4, 8),(6, 3)}, this relation is a function.

4. Since x=5 produces y=2 and y=6, the relation {(3, 4),(5, 2),(5, 6),(7, 3)}, is not a function.

1 2 3 are true the last one is not there it is.

how do i know?

well i did the test my self.

just trust me.

ANSWER ASAP WILL AWARD BRAINLIEST

Answers

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Here is the Answerr attached

very simple ill give brainlist

Answers

Answer:

100

Step-by-step explanation:

lxw=a

and 5x2+10, so basically just use the area formula with 10 as the values

Answer:

If each side of the square was doubled then you would have a square of 10 cm on each side

the answer is 100

Step-by-step explanation:

5 * 2 = 10

10 * 10 = 100

laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?

Answers

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

–3x + 4y = 8

-4x + 3y=-6
are these Graphs perpendicular, parallel, or niether.​

Answers

Answer:

Step-by-step explanation:

i need to find the area of the model

Answers

Answer:

Step-by-step explanation:

I know it might not help but try searching demos scientific calculator and all you have to do is enter the formula

Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
Group of answer choices

The package of 4 is a better buy.

The package of 2 is a better buy.

They are the same.

Answers

Well if we multiply 3.48 times two which would make 4 toothbrushes it would be 6.96. So this means if we wanted a better deal on more toothbrushes. The answer would be the package of 4
3.48x2= 6.96. Therefore if you bought the pack of 4 toothbrushes it would be a better deal bc you can get the same amount of toothbrushes for less since the 4 pack is 6.60 =)

Anyone know the answer? Guys help plzzzz

Answers

Answer:

[tex]\displaystyle w = 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/Coefficients

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify equation.

[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]

Step 2: Solve for w

[Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle -10 = w - 11[/tex][Addition Property of Equality] Add 11 on both sides:                                   [tex]\displaystyle 1 = w[/tex]Rewrite:                                                                                                             [tex]\displaystyle w = 1[/tex]                                                                                                            

1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?

Answers

Answer:

The ones that are divisible by 6

Step-by-step explanation:

If it is even, divisible by 2

If the sum of digits is divisble by 3, it would be divisible.

These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

You are welcome,

Kayden Kohl

8th Grade

What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48

Answers

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

what is 1/5 x 2/4 as a fraction

Answers

Answer:

2/20

Step-by-step explanation:

Answer:     7/10

Step-by-step explanation:

hi,please explain your answer
have a nice day​

Answers

Answer:

What grade are you my brother is good at this stuff

Is that the right answer

Answers

Answer:

Yes

Step-by-step explanation:

Loss=(C.P)-(S.P)

C.P= x and S.P= y

Loss= x-y

Loss= $(x-y)

Which one is not a function? And why not ?

Answers

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

Please help! People on my last post didn’t help :(! I’ll give brainliest.

Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.

(The questions are listed in the photo)

Answers

Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C

Answers

Answer:

  C = 25/9

Step-by-step explanation:

Consider the perfect square trinomial ...

  (x -a)² = x² -2ax +a²

The constant (a²) is the square of half the x-coefficient.

For your trinomial, the square of half the x-coefficient is ...

  C = ((-10/3)(1/2))² = (5/3)² = 25/9

$200 is shared between two friends Mary and John in the ratio 3 : 2 respectively. What is the result?​

Answers

Answer:

John: $80

Mary: $120

Step 1: Add the ratios (3 and 2).

=> 3 + 2 = 5

Step 2: Divide 200 by 5.

=> 200 ÷ 5

= 40

Step 3: Multiply.

=> Mary total: 40 x 3 = $120

=> John total: 40 x 2 = $80

Hoped this helped

In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp

Answers

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

In carbon dioxide molecules, for every 2 oxygen
atoms there is 1 carbon atom. How many oxygen atoms
combine with 50 carbon atoms to form carbon dioxide
molecules?

Answers

Answer:

100 oxygen molecules simple math

60 divided by the ratio of 7:3

Answers

First find the total of the ratio:
7 + 3 = 10

Now we can divide 60 by 10:
60 divided by 10 is 6

Finally we can multiply both 7 and 3 by 6:
7 x 6 = 42
3 x 6 = 18

To check we can add 42 and 18: this gives us 60.

Answer: 42:18

Hope this helps!

pls help this is annoying me :) <3​

Answers

Answer:

f(0) = 2, x = - 2, x = - 1

Step-by-step explanation:

f(0) means what is the value of y when x = 0

x = 0 is a point on the y- axis

Thus when x = 0 , y = 2 , that is

f(0) = 2

(b)

The roots are the values of x on the x- axis where the graph crosses

This occurs at x = - 2 and x = - 1 ← roots

PLEASE HELP MEEE

1st pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.

2nd pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.

Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠A.

Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠B.

Answers

Answer:

x1=15, x2=10, angle A=45, angle B=135

Step-by-step explanation:

1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15

2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10

since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135

Answer:

Refer to the explanation for the answer!

Step-by-step explanation:

Hello! Here is what I've found:

<ABC and <DBC in the first picture are both 30 degrees.

<ABC and <DBC in the second picture are both 10 degrees.

For m<A: It would be <A = x and <B = 3x

For m<B: It would be <A = 3x and <B = x

b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22

Answers

Answer:

Solution: 2x-6y divided by -24

2x=-24(-6y)

2x=6y-24

x=(6y-24) divided by 2

x=(6y-24)x 1/2

x=6y x 1/2 -24 x 1/2

x=3y-24x1/2

x=3y-12

If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

Answers

30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

Learn more about triangle here

https://brainly.com/question/16929864

#SPJ2

is it an inverse or a reciprocal? Pls help ASAP!!!

Answers

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

Please help meeeeee plzzzzz

Answers

tax because the tax shows you what you paid and ect

Which is the equation of a line that is parallel to the line y= -1/3x + 1
A.y= -1/3x + 1
B.y= 3x - 2
C.y= -1/3x + 2
D.y= 1/3x + 1

Answers

C. y= -1/3x + 2

This line has the same slope (-1/3), so it’s parallel to the line given. Option A is incorrect because it’s just the same line.

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4

Answers

Hope helps!,,,,,,,!,,,,

Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -​

Answers

Answer:

Refer to the attachment

As I was planting my sunflowers, I had to use 2 different sized flower pots. Now, some are very tall and others are not! Why would this be?


just wanted to know if you can answer

Answers

Answer:

Step-by-step explanation:

There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)

Answer:

When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.

Step-by-step explanation:

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