Question

Given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)

Answer 1

(g ∘ h)(x) = x² - 6x + 9

Explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

(g ∘ h)(x) = x² - 6x + 9

Hope this helps you