
Finding Inverse Functions Steps

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial function f(x) that we are trying to find the inverse of?
f(x) = e^x + 2
f(x) = 2e^x / (e^x + 1)
f(x) = e^x / (e^x + 2)
f(x) = e^x - 2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function?
Use logarithms
Solve for y
Interchange x and y
Replace f(x) with y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After interchanging x and y, what is the new equation?
x = e^y + 2
x = e^y / (e^y + 2)
x = 2e^y / (e^y + 1)
x = e^y - 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key step in solving for y in the equation x = e^y / (e^y + 2)?
Dividing both sides by x
Subtracting e^y from both sides
Multiplying both sides by e^y + 2
Adding 2 to both sides
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is used to bring down the variable from the exponent?
Addition
Subtraction
Multiplication
Logarithm
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for y after applying the logarithm?
y = ln(x - 1)
y = ln(x)
y = ln(2x)
y = ln(-2x / (x - 1))
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in finding the inverse function?
Replace x with f inverse of y
Replace y with f(x)
Replace y with f inverse of x
Replace x with y
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