Answer
a), b) See graphs
Work Step by Step
We are given the functions:
$f(x)=x+3$
$g(x)=x^2$
a) Determine $(f+g)(x)$
$(f+g)(x)=f(x)+g(x)=x+3+x^2=x^2+x+3$
Graph $f,g$ and $f+g$ on the same set of coordinate axes:
b) Determine $(f\circ g)(x)$:
$(f\circ g)(x)=f(g(x))=f(x^2)=x^2+3$
Graph $f,g$ and $f\circ g$ on the same set of coordinate axes:
