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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.

  1. \(f\left( x \right) = 6x + 15\) Solution
  2. \(h\left( x \right) = 3 - 29x\) Solution
  3. \(R\left( x \right) = {x^3} + 6\) Solution
  4. \(g\left( x \right) = 4{\left( {x - 3} \right)^5} + 21\) Solution
  5. \(W\left( x \right) = \sqrt[5]{{9 - 11x}}\) Solution
  6. \(f\left( x \right) = \sqrt[7]{{5x + 8}}\) Solution
  7. \(h\displaystyle \left( x \right) = \frac{{1 + 9x}}{{4 - x}}\) Solution
  8. \(f\displaystyle \left( x \right) = \frac{{6 - 10x}}{{8x + 7}}\) Solution