Question

Find the function h(x)= f(x) ∘ g(x) if f(x)=x(2-x) and g(x)=3^x

Answer 1

(f ∘ g)(x) can be found by plugging in g(x) as x in f(x).

f(x) = x(2 - x) 

$(f \circ g )(x) = 3^x(2 - 3^x)$