Question

Given: f(1) = 3x– 7, 9(x) = 2x^2 – 3x +1, h(x) = 4x + 1, k(x) = –x^2+3
Find: (h o g) (x)

Answer 1

(h o g) (x) = h(g(x))

Explanation:

(h o g) (x) = h(g(x)) = 4(g(x))+1 = 4(2x^2 -3x + 1 ) + 1

= 4*2x^2 - 4*3x + 4*1 + 1

= 8x^2 - 12x + 4 + 1

= 8x^2 - 12x + 5