Question

Let f(x) = (4x2 + 11) and h(x) = x3.
Given that f(x) = (hºg)(x), find g(x).

Answer 1

Given, f(x) = (4×2 + 11) = 19 & h(x) = x3 or,3x

Also,

f(x) = (hog)(x)

Therefore, h(g(x)) = 19 (As a= b, means b=a)

3g(x) = 19

or, g(x) = 19/3