Question

Given f(x) = 6x + 9 and g(x) = X^4, choose
the expression for (fºg)(x).

Answer 1

(fºg)(x) =
`6x^(4)+9`

Explanation:

We have been given the following two functions;

f(x) = 6x + 9

g(x) = X^4,

We are then required to determine the expression for (fºg)(x). (fºg)(x) denotes a composite function f[g(x)] which is obtained by

substitute g(x) in place of x in f(x)

(fºg)(x) = 6[g(x)] + 9

(fºg)(x) = 6X^4 + 9