Question

F(x) = 40x and g(x) = 9x − 2 . find the g ∘ f

Answer 1

To find the composition g ∘ f, substitute the expression for the inner function into the outer function. In this case, g ∘ f(x) = 360x - 2.

Step-by-step explanation:

To find the composition of two functions, we substitute the expression for the inner function into the outer function. In this case, we need to find the composition g ∘ f. Substituting f(x) = 40x into g(x) = 9x - 2, we get g ∘ f(x) = g(f(x)) = g(40x) = 9(40x) - 2 = 360x - 2. Therefore, the composition g ∘ f is 360x - 2.