Answer
$(f\circ g)(x)=2x+11$
$(g\circ f)(x)=2x+4$
Work Step by Step
$f(x)=2x-3;$ $g(x)=x+7$
$(f\circ g)(x)$
To find $(f\circ g)(x)$, substitute $x$ by $g(x)$ in $f(x)$ and simplify:
$(f\circ g)(x)=f(g(x))=2(x+7)-3=2x+14-3=2x+11$
$(g\circ f)(x)$
To find $(g\circ f)(x)$, substitute $x$ by $f(x)$ in $g(x)$ and simplify:
$(g\circ f)(x)=g(f(x))=(2x-3)+7=2x+4$