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P6.6: Inverses
By Katherine Rorabaugh
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Last updated about 4 years ago
13 questions
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Note from the author:
Instructions
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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.
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) = -x
2
+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}
yes
no
Question 8
8.
Are these functions inverses of each other?
f(x)=\frac{1}{2}x-\frac{7}{2}
g(x) = 2x+14
yes
no
Question 9
9.
Are these functions inverses of each other?
f(x)=\sqrt{x+4}+9
g(x)=(x-9)^{2}-4
yes
no
Question 10
10.
Are these functions inverses of each other?
f(x) = \frac{1}{4}x^{3}-3
g(x) = \sqrt[3]{4x-12}
yes
no
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.