Question

Given f(x) = x2 - 6x and g(x) = x^3 choose

the expression for (fºg)(x).
Click on the correct answer.

Answer 1

For this case we have the following functions:

`f (x) = x ^ 2-6x\\g (x) = x ^ 3`

We must find
`(f_ {0} g) (x):`

By definition of composition of functions we have to:

`(f_ {0} g) (x) = f (g (x))`

So:

`(f_ {0} g) (x) = (x ^ 3) ^ 2-6 (x ^ 3) = x ^ 6-6x ^ 3`

Recall that by definition of power properties is met:

`(a ^ n) ^ m = a ^ {n * m}`

Answer:

`(f_ {0} g) (x) = x ^ 6-6x ^ 3`