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Section 1.2 : Inverse Functions
For each of the following functions find the inverse of the function. Verify your inverse by computing one or both of the composition as discussed in this section.
- \(f\left( x \right) = 6x + 15\) Solution
- \(h\left( x \right) = 3 - 29x\) Solution
- \(R\left( x \right) = {x^3} + 6\) Solution
- \(g\left( x \right) = 4{\left( {x - 3} \right)^5} + 21\) Solution
- \(W\left( x \right) = \sqrt[5]{{9 - 11x}}\) Solution
- \(f\left( x \right) = \sqrt[7]{{5x + 8}}\) Solution
- \(h\displaystyle \left( x \right) = \frac{{1 + 9x}}{{4 - x}}\) Solution
- \(f\displaystyle \left( x \right) = \frac{{6 - 10x}}{{8x + 7}}\) Solution