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

Answer:

$h(x) = x^{3}$

Step-by-step explanation:

$f(x) = (8 \times x^{4}- 3)^{3}$ ------------(1) (given)

$g(x) =(8 \times x^{4}- 3)$ -------------(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.