Suppose that $f(x)=x+2$ and $g(x)=x^2$. Find $f\circ g$ and $g\circ f$.

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Lesson Parent: 
Function Composition
Problem: 

Suppose that $f(x)=x+2$ and $g(x)=x^2$. Find $f\circ g$ and $g\circ f$.

Answer: 

$(f\circ g)(x)=x^2+2$ and $(g\circ f)(x)=x^2+4x+4$.

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Solution: 

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