# Chapter 4 - Section 4.1 - Inverse Functions - 4.1 Exercises: 43

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#### Work Step by Step

The two functions are inverses of each other if $(f\circ g)(x)=(g \circ f)(x)$. For the given functions, $(f\circ g)(x) \\=f(g(x)) \\=-3\times (-\frac{1}{3}x-12)+12 \\=x+36+12 \\=x+48$ Therefore, $f$ and $g$ are not inverses of each other..

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