Question

Please help??????????

f(x) = (3x - 5) ³

h(x) = 2^3√x+8

Write h(f(x)) as an expression in terms of x.

h(f(x)) =​

Answer 1

First, we need to find f(x) and then substitute that expression into h(x) to get h(f(x)).

f(x) = (3x - 5)^3

So,

h(f(x)) = h((3x - 5)^3)

= 2^(3√(3x - 5)^3 + 8)

= 2^(3√(3x - 5)^3) * 2^8

= 2^(3√(3x - 5)^3) * 256

Therefore, h(f(x)) = 2^(3√(3x - 5)^3) * 256.