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Section 3.7 : Inverse Functions

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