Find f ∘ g ∘ h. f(x) = 8x − 1, g(x) = sin(x), h(x) = x2

Question

Find
f ∘ g ∘ h.
f(x) = 8x − 1, g(x) = sin(x), h(x) = x2

Answer 1

this 'triple composition' will be interpreted as (f(g))∘ h.

we do f∘ g first: 8(sin x) -1 and call this k(x)

next we do koh = k(h(x)) =8 sin (x²) - 1

 

pretty horrible!