Subject:  Precalculus

Find the inverse of f(x) = 2x + 3

Swap x and y and solve to find the inverse function.

Answer f⁻¹(x) = (x − 3)/2

Solution

  1. Function f(x) = 2·x + 3
  2. Pattern Linear function
  3. Swap and solve y = 2·x + 3 → x = (y − 3)/2
  4. Inverse f⁻¹(x) = (x − 3)/2

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