Answers
Answer:
A
Step-by-step explanation:
Inverse means that the function is reversed from the original function, f(x).
To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.
This would be (x+11)/5.
So, you know that A is true.
Try the other selections too.
B: [tex]g(x)=x^3/2[/tex] The x should be tripled before being divided by 2; FALSE
C: [tex]g(x)=7/(x+9)[/tex] 7 should by in the numerator; FALSE
D: [tex]g(x)=6(x+8)[/tex] 8 should be added before being multiplied by 6; FALSE
I hope this helps!!!
Using composite functions, it is found that the pair of functions that are inverse of each other is given by:
A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
------------------
The composite of functions f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Two functions f and g are inverse of each other if:
[tex]f(g(x)) = g(f(x)) = x[/tex]
Item a:
[tex]f(x) = 5x - 11[/tex]
[tex]g(x) = \frac{x + 11}{5}[/tex]
[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]
[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]
Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.
A similar problem is given at https://brainly.com/question/23458455
Related Questions
Mike’s fitness center charges $30 per month for a membership. All Day fitness center charges $22 per month plus an $80 initiation fee for membership. After how many months will the total amount paid to the two memberships be the same?
Answers
Answer:
10 months
Step-by-step explanation:
30x = 22x + 80
8x = 80
x = 10
can someone help me please !!
Answers
Answer:
X= -4 and X =2.
Step-by-step explanation:
use the graph .... and if you wanna be sure.
you use the quadratic formular.
Need help asapppppppppppppppppppppppppp
Answers
Answer:
0.00264
Step-by-step explanation:
(3.3x10^-4)x(8x10^0)
(3.3x1/100000)x(8x1)
0.00033x8
0.00264
hope this helps
brainliest?
Answer:
2.64 x 10⁻-3
0.00264
What is 1.7x=? When x=5
Answers
Answer:
8.5
Step-by-step explanation:
1.7*5=8.5
Answer:
Step-by-step explanation:
a = answer
1.7x = a
1.7(5) = a
8.5 = a
plz i need help -8 = p -5
Answers
4
rtbnjtfbu7yhjujkuf. ,i
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps
Answers
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
Bart earns $6.30 per h. If his regular pay last week was $236.25, how many hours did he work?
Answers
Answer:
Bart worked 37.5 hours last week (37 1/2).
Step-by-step explanation: Divide total pay by rate per hour (in this case $6.30 per hour.)
$236.25 (the total) / $6.30 (money per hour) = 37.5 or 37 1/2
Solve for v
-39v=4v+7(v+7)
Answers
Answer:
-49/50
Step-by-step explanation:
-39v=4v+7(v+7)
Distribute
-39v = 4v +7v+49
Combine like terms
-39v = 11v+49
Subtract 11 v from each side
-39v-11v = 11v-11v +49
-50v = 49
Divide by -50
-50v/-50 = 49/-50
v = -49/50
Answer:
v= - 49/50
Step-by-step explanation:
-39v=4v+7(v+7)
open the parentheses by multiplying both v&7 by 7:
-39v=4v+7v+49
add like terms:
-39v-4v-7v=49
-50v=49
divide both sides by -50:
v= - 49/50
how do i show (6y-2) to the power of 2 simplified 36y^2 -24y+4
Answers
Answer:
420 69x1.38 (122) 12344
put these fractions to least to greatest 8/9 6/9 5/9 7/9 please help
Answers
a little boy gets a haircut.the total cost is $24 and the tip should be 10% how much should the barber get as a tip?
Answers
Answer:
2.40$ or 2.4$
Step-by-step explanation:
divide 24 and 10 and you should get the answer of 2.40$ or 2.4$
The table below shows the number of miles four cars can travel on a given amount of gasoline.
Car Mileage
Number of miles traveled
Number of gallons used
Car 1
528
22
Car 2
486
18
Car 3
475
19
Car 4
546
21
Which list shows the cars in order from least miles per gallon to greatest miles per gallon?
HURRY I NEED IT
FIRST RESPONCE GETS BRAINLIEST
Answers
Answer:
the person above me was correct
Step-by-step explanation:
btw it was c
Answer: C
Step-by-step explanation: I took the quiz yesterday
What is the value of f(x) = 3x -12 for anx = 9
Answers
Answer:
15
Step-by-step explanation:
f(x) = 3x -12 for x = 9
f(9) = 3(9) -12
27-12
15
What is the conclusion in this conditional statement?
If a city is in the United States, then it is in North America.
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
True because if the United States is in North America which it is, a city of the United States is most likely to be in North America.
Step-by-step explanation:
According to a Wired magazine article, of e-mails that are received are tracked using software that can tell the e-mail sender when, where, and on what type of device the e-mail was opened (Wired magazine website). Suppose we randomly select received e-mails.
Answers
a.The expected number of emails is 12
b. The variance and the standard deviation is 7.200 and 2.683
Calculation of expected number of emails, variance and standard deviation:
Given that
P = 0.40 and n = 30
a)
The expected value of received e-mails is
= n × p
= 30 × 0.4
= 12
b)
The variance of emails received is
= n × p × (1 - p)
= 30 × 0.4 × 0.6
= 7.200
Now
The standard deviation of emails received is
= sqrt(variance)
= 2.683
We simply applied the above formula
Learn more about variance here: https://brainly.com/question/24138432
Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.
Answers
See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
Learn more here: https://brainly.com/question/18718165
Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2
Answers
Answer:
The right answer is d. inverse variation; k=2
PLEASE HELPPP please
Answers
Answer: -30x⁵y⁷
Step-by-step explanation:
When multiplying exponents, you add them.
Distribute the -5x³ and y² to the terms inside of the parentheses to simplify:
-30x⁵y⁷
Hope this helps!
now that we know that, just multiply everything by it’s like term - coefficient by coefficient, variable by variable
so: (-5*6)(x^3*x^2)(y^5*y^2) = (-30)(x^5)(y^7)
now just combine them: -30x^5y^7
Please help me the picture is above, I’ll mark as brainliest.
Answers
Answer:
function is a straight line, with a y-int of 1, passes VLT and HLT so it is 1:1
Step-by-step explanation:
f(x)= 2x+4
f(-2)= 2(-2)+4 = -4+4 = 0
f(-1)= 2(-1)+4 = -2+4 = 2
f(0)= 2(0)+4 = 0+4 = 4
f(1)= 2(1)+4 = 2+4 = 6
f(2)= 2(2)+4 = 4+4 = 8
idrk the features but i'll guess
someone please help me with this! please write the steps as well! thank you so much!
Answers
Answer:
where is the question
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in slope-intercept form.
Answers
Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6
g(t) = -4t + 2; Find g(6)
Answers
Answer:
g(6)=-22
Step-by-step explanation:
g(6)=-4(6)+2
g(6)=-24+2
g(6)=-22
What is 7(x+4)= -21?
Answers
Answer:
x = -7
Step-by-step explanation:
7x + 28 = -21
7x = -21 -28
7x = -49 /:7
x = -7
Roses are sold for 1.50 each or 4 for $6.00 on a graph of roses vs the total price of the roses what would be the slope
Answers
Answer:
no
Step-by-step explanation:
unu
Step-by-step explanation:
do you have the answer now I need it please
someone help please
the options are
1. y = 2x + 4
2. y = 1/2 x + 4
3. y = -1/2x + 4
4. y = -2x + 4
Answers
Answer:
2. y = 1/2x + 4
Step-by-step explanation:
This is the only equation that moves in a positive slope the way the graph shows it, hope this helps.
Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?
Answers
HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!
Answers
Answer:
C i think
Step-by-step explanation:
You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say
In a quiz consist of 10 questions,+2 marks are given for a correct answer, -1 marks for an incorrect answer and 0 marks for not attempting a question. Radhika got 8 correct answers and 2 wrong answers. What is her total score?
Answers
======================================================
Work Shown:
c = number of correct answers
w = number of wrong answers
n = number of questions not attempted
2c = points you get from all the correct answers
-1w = points you get from all the wrong answers
0n = points you get from all the questions attempted
2c-1w+0n = 2c-w = total number of points
In this case, she got 8 correct answers and 2 wrong answers. So c = 8 and w = 2 which leads to
2c-w = 2*8-2 = 16-2 = 14
Her total score is 14.
A and \angle B∠B are supplementary angles. If m\angle A=(5x-19)^{\circ}∠A=(5x−19)
∘
and m\angle B=(2x+10)^{\circ}∠B=(2x+10)
∘
, then find the measure of \angle B∠B.
Answers
Answer: 52
Step-by-step explanation:
4x+8 = 5x-3 by the Vertical Angles Theorem that states the vertical angles are congruent.
Subtract 4x from both sides and get:
8=1x -3
Add 3 to both sides:
11= 1x
if x =11, plug that in to angle A.
4x+ 8 becomes 4(11)+8 =
44+ 8=
52
Vanessa collected Barbie dolls. She began with 2 dolls and added the same amount of dolls to her collection each year. In the 24th year, Vanessa had 98 dolls. Which function, d(n), can be used to determine the number of dolls Vanessa had in any year? Show complete working format please
Answers
Answer:106
Step-by-step explanation:
106