## Algebra: A Combined Approach (4th Edition)

a) $(h ∘ g)(x)$ b) $(g ∘ f)(x)$
a) First, $x$ is added to 5, then it's absolute value is taken. Check: $(h ∘ g)(x) = h(g(x)) = h(x+5) = |x+5|$. b) First, $x$ is multiplied by 2, then 5 is added to the result. Check:$(g ∘ f)(x) = g(f(x)) = h(2x) = 2x+5$.