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musickatia [10]
3 years ago
13

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

Mathematics
1 answer:
Harman [31]3 years ago
8 0

<u>Answer:</u>

h(x) = x^{3}

<u>Step-by-step explanation:</u>

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.

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