For the given functions f and g , find the indicated composition.

Question

f(x) = (x-10)/(9), g(x)=9x+10

(g∘f)(x)

Answer 1

(g∘f)(x) = g(f(x)) = g((x - 10)/9)

= 9((x - 10)/9) + 10 *the 9s will cancel

= x - 10 + 10

= x

Hence (g∘f)(x) = x