P6.6: Inverses

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

Enter your answer as an expression, no spaces.

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

Enter your answer as an expression, no spaces.

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.

If f(x) = (x-2)⁴, find f^-1(x).

Enter your answer as an expression, no spaces.

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.

If f(x) = -x²+6, find f^-1(x).

Enter your answer as an expression, no spaces.

Are these functions inverses of each other?

f(x) = 6x-15

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

Are these functions inverses of each other?

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

g(x) = 2x+14

Are these functions inverses of each other?

f(x)=\sqrt{x+4}+9

g(x)=(x-9)^{2}-4

Are these functions inverses of each other?

f(x) = \frac{1}{4}x^{3}-3

g(x) = \sqrt[3]{4x-12}

Review:

Solve the equation for x.

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

Enter your answer as an integer, no spaces.

Review:

Solve the equation for x. Check for extraneous solutions.

\sqrt{63-2x}=x

Enter your answer as an integer, no spaces.

Review:

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

Enter your answer in simplest radical form.