Answer
$(f\circ g)(x)=\sqrt{-5x+2}$
$(g\circ f)(x)=-5\sqrt{x}+2$
Work Step by Step
$f(x)=\sqrt{x}$ $;$ $g(x)=-5x+2$
$(f\circ g)(x)$
To find $(f\circ g)(x)$, substitute $x$ by $g(x)$ in $f(x)$ and simplify if possible:
$(f\circ g)(x)=f(g(x))=\sqrt{-5x+2}$
$(g\circ f)(x)$
To find $(g\circ f)(x)$, substitute $x$ by $f(x)$ in $g(x)$ and simplify if possible:
$(g\circ f)(x)=g(f(x))=-5\sqrt{x}+2$