
Finding Inverses of Exponential Functions

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 given in the problem?
f(x) = ln(x) + 3
f(x) = e^(2x) + 3
f(x) = e^(x) + 2
f(x) = 2x + 3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function?
Solve for 'y'
Replace the function with a new variable
Use proper notation
Interchange the variables
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the process of finding the inverse, what do you replace 'y' with?
z
x
a
b
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical operation is used to bring down the exponent in the third step?
Addition
Multiplication
Subtraction
Natural logarithm
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula used when taking the natural log of e to the power of x?
ln(e^x) = 1
ln(e^x) = e
ln(e^x) = 0
ln(e^x) = x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After taking the natural log, what is the next step to isolate 'y'?
Divide both sides by 2
Multiply both sides by 2
Subtract 3 from both sides
Add 3 to both sides
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expression for 'y' after solving the equation?
y = ln(x) - 3 / 2
y = ln(x) + 3 / 2
y = ln(x - 3) / 2
y = ln(x + 3) / 2
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