Algebra - Inverse Functions (Practice Problems)

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Section 3.7 : Inverse Functions

Given $h\left( x \right) = 5 - 9x$ find ${h^{ - 1}}\left( x \right)$ . Solution
Given $\displaystyle g\left( x \right) = \frac{1}{2}x + 7$ find ${g^{ - 1}}\left( x \right)$ . Solution
Given $f\left( x \right) = {\left( {x - 2} \right)^3} + 1$ find ${f^{ - 1}}\left( x \right)$ . Solution
Given $A\left( x \right) = \sqrt[5]{{2x + 11}}$ find ${A^{ - 1}}\left( x \right)$ . Solution
Given $\displaystyle f\left( x \right) = \frac{{4x}}{{5 - x}}$ find ${f^{ - 1}}\left( x \right)$ . Solution
Given $\displaystyle h\left( x \right) = \frac{{1 + 2x}}{{7 + x}}$ find ${h^{ - 1}}\left( x \right)$ . Solution