Question

Let f(x)=(8x^4-3)^3 and g(x)=8x^4-3 given that f(x)=(h g)(x) , find h(x)

Answer 1

`h(x) = x^(3)`

Explanation:

`f(x) = (8 * x^(4)- 3)^(3)` ------------(1) (given)

`g(x) =(8 * x^(4)- 3)` -------------(2) (given)

so,

f(x) = h(g(x)) (given)

=
`(g(x))^(3)`-----(from (1) and (2))

⇒
`h(k) = k^(3)`-----(taking g(x) = k)

⇒
`h(x) = x^(3)` is the function.