231k views
0 votes
Let f(x)=(8x^4-3)^3 and g(x)=8x^4-3 given that f(x)=(h g)(x) , find h(x)

1 Answer

4 votes

Answer:


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.

User Haritha
by
6.9k points