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P6.6: Inverses

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Last updated almost 4 years ago
13 questions
Note from the author:
For a review on inverses, watch this video and all the others in the sidebar.
For a review on inverses, watch this video and all the others in the sidebar.
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Question 1
1.

If f(x) = -x+9, find f-1(x).

Enter your answer as an expression, no spaces.

Question 2
2.

If f(x) = \frac{4}{3}x-7, find f-1(x).

Enter your answer as an expression, no spaces.

Question 3
3.

If f(x) = \sqrt{x} - 5, find f-1(x). Note that the "-5" is outside the radical.

Enter your answer as an expression, no spaces.

Question 4
4.

If f(x) = (x-2)4, find f-1(x).

Enter your answer as an expression, no spaces.

Question 5
5.

If f(x) = -\frac{2}{3}x-4, find f-1(x).

Enter your answer as an expression, no spaces. Distribute, your answer should have no parenthesis.

Question 6
6.

If f(x) = -x2+6, find f-1(x).

Enter your answer as an expression, no spaces.

Question 7
7.

Are these functions inverses of each other?

f(x) = 6x-15
g(x) = \frac{1}{6}x+\frac{5}{2}

Question 8
8.

Are these functions inverses of each other?

f(x)=\frac{1}{2}x-\frac{7}{2}
g(x) = 2x+14

Question 9
9.

Are these functions inverses of each other?

f(x)=\sqrt{x+4}+9
g(x)=(x-9)^{2}-4

Question 10
10.

Are these functions inverses of each other?

f(x) = \frac{1}{4}x^{3}-3
g(x) = \sqrt[3]{4x-12}

Question 11
11.

Review:
Solve the equation for x.

-7+(16p+8)^{\frac{1}{3}} = -1

Enter your answer as an integer, no spaces.

Question 12
12.

Review:
Solve the equation for x. Check for extraneous solutions.

\sqrt{63-2x}=x

Enter your answer as an integer, no spaces.

Question 13
13.

Review:
Simplify \frac{32}{32^{\frac{3}{4}}}

Enter your answer in simplest radical form.