
Finding Inverses of Functions: A Step-by-Step Guide

Interactive Video
•
Mathematics
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8th - 12th Grade
•
Hard

Olivia Brooks
Used 1+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function?
Switch x with y
Isolate the y variable
Replace f(x) with y
Divide both sides by the coefficient of y
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve for y in the equation x = y^3 + 8?
Add 8 to both sides
Divide both sides by 3
Take the cube root of both sides
Subtract 8 from both sides
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of f(x) = x^3 + 8?
y = x^3 + 8
y = 3√(x - 8)
y = x/3 + 8/3
y = (x - 8)^3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation x = √(y + 2) - 5, what is the next step after adding 5 to both sides?
Take the square root of both sides
Divide both sides by 2
Subtract 2 from both sides
Square both sides
5.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
What is the final form of the inverse function for f(x) = √(x + 2) - 5?
y = x + 5 - √2
y = √(x + 7)
y = x^2 + 10x + 23
y = (x + 5)^2 - 2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you remove the cube root symbol in the equation x = ³√(y + 4) - 2?
Subtract 2 from both sides
Cube both sides
Add 4 to both sides
Divide both sides by 3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of f(x) = ³√(x + 4) - 2?
y = ³√(x - 2) + 4
y = (x + 2)^3 + 4
y = (x + 2)^3 - 4
y = x^3 + 4
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