Question 1 of 10
f (2) = y + 10. Find the inverse of f(x).
O A f-'(x) = (x + 10)
O B. f-1(x) = 73 + 10
O C. f-1(x) = (x – 10)3
O D. f-'(x) = x3 – 10
Answers
Option D
step by step explanation:
[tex] \sf f(x) = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{x + 10} \\ \sf y = \sqrt[3]{y + 10} \\ \sf y = {x}^{3} - 10 \\ \sf {f}^{ - 1} (x) = {x}^{3} - 10[/tex]
The inverse of the given function is represented as f' ( x ) = x³ - 10
What is Function Rule?A function is a mathematical object that takes an input (or several inputs) and produces an output. The rule of a function describes how the input is transformed to produce the output. It can be written using mathematical notation, words, or a combination of both.
Functions are used in many areas of mathematics, science, engineering, and other fields to model relationships between variables, make predictions, and solve problems.
Given data ,
Let the function be represented as A
Now , the value of A is
Now , the function is depicted as f ( x ) = ∛( x + 10 )
Simplifying results in
The function's inverse is obtained by swapping the x and y variables.
So ,
y = ∛( x + 10 )
x = ∛( y + 10 )
On solving for y , we get
y = x³ - 10
And , the inverse is f' ( x ) = x³ - 10
The function is therefore f' (x) = x³ - 10.
Go here to read more about the function rule.
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Related Questions
SOMEONE PLEASE HELP ME
Answers
Answer:
D
Step-by-step explanation:
0.4 = 4/10 = 2/5
Crafts Unlimited sells ribbon by the foot. Serena needs ribbon
for an art project. The cost of the ribbon is 5 feet for $3.00.
Feet of Ribbon 1 5 10 15
Cost (in dollars) $3.00
a. Complete this ratio chart based on the information provided.
b. How many feet of ribbon can Serena buy for $12.00?
c. If Serena needs 17 feet of ribbon, how much will she pay?
How do you know?
Answers
The completed ratio chart is provided below:
Feet of Ribbon 1 5 10 15
Cost $0.60 $3 $6 $9
The amount Serena would get if she has $12 is 20 yards.
The amount Serena would pay if she wants 17 feet of the ribbon is $10.20.
The first step is to determine the unit cost of a ribbon.
Unit cost of a ribbon = $3 / 5 = $0.60
The cost of 10 feet of the ribbon = $0.60 x 10 = $6
The cost of 15 feet of the ribbon = $0.60 x 15 = $9
The feet of ribbon Serena can buy if she has $12 = $12 / $0.60 = 20 yards.
The cost of 17 feet of the ribbon = $0.60 x 17 = $10.20
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Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size
Answers
Answer:
Straight angle 180 degrees
2. which of the following shows the cube of a binomial?
Answers
Answer:
Socratic app
Step-by-step explanation:
it will help you
Which of the following statements about resale price maintenance is correct? Resale price maintenance _______.
A. is considered by some economists to be efficient and by other economists to be inefficient
B. is also called horizontal price fixing
C. is legal under the Sherman Act
D. occurs when a manufacturer prints the price of its good directly on the packaging
Answers
Answer:
A. is considered by some economists to be efficient and by other economists to be inefficient
Step-by-step explanation:
Which choice is equivalent to the expression below?
5 SQR7-4x SQR7-xSQR7
A. 0
B.-2xSQR7
C.-X^2
D. 5 SQR 7 -5xSQR7
Answers
I think is the B, tell me if it's correct OK i'm trying to help
Answer:
5√7-5x√7
Step-by-step explanation:
Jay has written 24 songs to date. He writes an average
of 6 songs per vear. Jenna started writing songs this
year and expects to write about 12 songs per year.
How many years from now will Jenna have written
as many songs as Jay Write and graph a system of
equations to find your answer.
Answers
Step-by-step explanation:
I'm sorry could you maybe send more information so I could help you
Is the following relation a function?
X. Y
-1. -2.
2. 3
3. 1
6. -2
Answers
Answer:
Step-by-step explanation:
x y
−1 −2
2 3
3 1
6 −2
Answer:
no
Step-by-step explanation:
6 and -2 is not a function
Instruction
Active
Constructing Parallel Lines through a Given Point
ty
Construct a line through P that is parallel
to the given line by following these steps.
1. Construct a line through points
Q and P
Answers
make two pair of line segment of PQ andQP and construct use of a scale and the parallel line give the point name
. Bobignment In what year was the LAWMA Established-
Answers
hello I need help please help me
Answers
Answer:
1) equation
2) equation
3) expression
4) expression
Step-by-step explanation:
An equation has a result, or something that equals to .
Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.
Hope that helped :)
Step-by-step explanation:
Examples:
[tex]a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}[/tex]
[tex]1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}[/tex]
the number of decimal places after which the decimal expansion of 23 upon 2²*5 will terminate will
Answers
Answer:
Given:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
To Find:
Expansion of the given number = ?
Solution:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
By opening the squares, we get
⇒ \frac{23}{2\times 2\times 5}
2×2×5
23
⇒ \frac{23}{4\times 5}
4×5
23
⇒ \frac{23}{20}
20
23
⇒ 1.151.15
How do I do i’m not sure
Answers
[tex](a)\\\\m=6.1\times 10^{-5},~~ t=1.7 \times 10^{-6} \\G = \sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{6.1\times 10^{-5}}{\left(1.7 \times 10^{-6}\right)^2} } ~=4590\\\\\\(b)\\\\m=6.1\times 10^{-5}(1+ 8\%) = 6.1\times 10^{-5}(1+0.08) = 0.0000648\\\\t=1.7\times 10^{-6}(1+ 5\%)= 1.7\times 10^{-6}(1+0.05) =0.000001785\\\\\\G=\sqrt{\dfrac{m}{t^2}} = \sqrt{\dfrac{0.0000648}{(0.000001785)^2}}=4510[/tex]
For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how many questions were on this English test
Answers
Please help! Grade 7 math
Answers
Answer:
6 apple pies
Step-by-step explanation:
Cuantos triángulos se pueden construir con un número entero de palillos
Answers
Answer:
Step-by-step explanation:
After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.
First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.
THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )
I suppose, you must have visualised the superstructure.
Thanks.
The zeros of the quadratic function described by the graph below is
Answers
7. The zeros of the quadratic function described by the graph below is
1
A. 2,1
B. -2,1
C. 2,-1
D. -2,-1
Answer :C
Please help if you can!
Answers
Answer:
4-1
Step-by-step explanation:
i think thats right
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.
Answers
Answer:
2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
-Chetan K
Answer: 2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
trevin puts 8 gallon of gas
Answers
Answer:
good for trevin?
Step-by-step explanation:
we'll need more to go on haha
Ellen solved the equation x2−5=59 using the following steps.
Review her work carefully, and then follow the instructions.
Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?
Answers
Answer:
c
Step-by-step explanation:
In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.
How many milliliter are in 0.3grams
Answers
Answer:
0.3ml
Step-by-step explanation:
0.1 g = 0.1 ml
The Cardinality of this set {7,8,9) includes
a. n(P) = 3
b. n(P) = 6
c. n(P) = 24
d. n(P) = 2
Answers
Answer:
The Cardinality of this set {7,8,9} is n(P) = 8.
Step-by-step explanation:
Because:
n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}
Hence by the formula 2^k.
where, k = number of elements in the set.
The cardinality is 8.
2x+3-3=-6
x=3 ? Solve
Answers
[tex]2(x)+3-3=-6\\2(3)+3-3=-6\\6+3-3=-6\\6=-6\\[/tex]
[tex]x\neq 3[/tex]
As we can see, x cannot be equal to 3 as 6 cannot equal -6.
I hope I've helped! :)
pls help (picture) *30 points*
Answers
Answer:
perimeter = 36
Step-by-step explanation:
Each diagonal side is the hypotenuse of a right triangle with legs of lengths 6 and 8.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Each horizontal side measures 8.
perimeter = 8 + 8 + 10 + 10
perimeter = 36
You're looking over your child's math homework. The directions say to
simplify the expression below. What feedback would you give your child?
Make sure to include if their answer is correct or not (1 pt) and a
description of why (1 pt). *
6x + 5x + 2y
= 11x + 2y
= 13xy
=
Your answer
Answers
Hello, hope you are having a nice day.
This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.
Therefore, the correct answer would be
11x+2y
Hope it helps. Ask me if you have any queries.
~An emotional teen who helps others with joy
[tex]MagicalNature[/tex]
Good luck.
Answer:
Step-by-step explanation:
The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.
If it was, then why didn't you do that in the first step?
Think of all the possibilities
60xy
10xy
12xy
10xy + 5y
12xy + 5x
There must be many more.
And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.
Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.
a box can take 12 pencils. If 156 pencils are packed into such boxes, how many boxes will be fully packed
Answers
A box=12 pencils
156 boxes =?
156÷12=13 boxes
Can someone help me on theses?
Answers
(NO LINKSS PLS)(PLS ANSWER) Rayshawn is making sewing kits. Each kit gets 2 thimbles. the ratio of thimbles to spools of thread in each kit is 2:8, and the ratio of needles to thimbles is 4:2. Which statement below is always true? Explain Your reasoning.
Rayshawn needs half as many needles as spools of thread.
OR
Rayshawn needs 4 fewer needles than spools of thread.
Answers
Answer:
864 inches
12*3=36
36*24=864
Step-by-step explanation:
Hope this helps:)
Answer:
12*3=36
36*24=864
Step-by-step explanation:
Anne bought an aquarium priced at $44.96. Shipping and handling cost an additional 25%of the price. What was the total cost of the aquarium, including shipping and handling?