Question

Given f(x)=x^2-21 g(x)=2x-47 find (gof)(x)

Answer 1

(g ○ f )(x) = 2x² - 89

Explanation:

to find the composite function (g ○ f )(x) , substitute x = f(x) into g(x)

(g ○ f )(x)

= g(f(x))

= g(x² - 21)

= 2(x² - 21) - 47

= 2x² - 42 - 47

= 2x² - 89