Answer
a) $-4x-28$
b) $-4x+7$
c) $x+14$
Work Step by Step
We are given the functions:
$f(x)=-4x$
$g(x)=x+7$
a) Find $f\circ g$:
$(f\circ g)(x)=f(g(x))=f(x+7)=-4(x+7)=-4x-28$
b) Find $g\circ f$:
$(g\circ f)(x)=g(f(x))=g(-4x)=(-4x)+7=-4x+7$
c) Find $g\circ g$:
$(g\circ g)(x)=g(g(x))=g(x+7)=(x+7)+7=x+14$
