# Chapter 6 - Logarithmic Functions - 6.3 Graphing Logarithmic Functions - 6.3 Exercises - Page 511: 39

$f^{-1}(x) = \frac{x-12}{2}$

#### Work Step by Step

$f(x) = 2x+ 12$ Let $f(x) = y$ $y = 2x + 12$ Swap the $x$ and $y$ variable to find the inverse: $x = 2y + 12$ $x - 12 = 2y$ $y = \frac{x-12}{2}$ $f^{-1}(x) = \frac{x-12}{2}$

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