Given and , find each composite function in simplest form and state its…

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Given f(x)=x+3x+2f(x)=\frac{x+3}{x+2} and g(x)=x+1x−1g(x)=\frac{x+1}{x-1}, find each composite function in simplest form and state its domain. (1) (f∘g)(x)(f\circ g)(x) (2) (g∘f)(x)(g\circ f)(x) (3) (g∘g)(x)(g\circ g)(x)

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