(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given that f(R)=R , g(R)=R be defined respectively by

[tex]f(x)=\begin{cases} \sin x+2 & \text{if } x>1 \\ \cos x-2 & \text{if } x\leq 1\end{cases}[/tex]

[tex]g(x)=\begin{cases}2x+3& \text{if } x>0 \\ x^2 & \text{if } x\leq 0 \end{cases} [/tex]

Find f o g and g o f

2. Relevant equations

3. The attempt at a solution

i have no idea to begin except for the obvious substitution of g(x) into the function f(x) . I am not sure how to adjust the domain .

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# Homework Help: Piece wise function

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