Question

If f(x) = x+4 and g(x) =x^3, what is (g•f)(-3)

Answer 1

The answer is 1

Answer 2

`(g\circ f)( - 3) = 1`

Step-by-step explanation

The given functions are

`f(x) = x + 4`

and

`g(x) = {x}^(3)`

The composite function,

`(g\circ f)(x) = g(f(x))`

`(g\circ f)(x) = g(x + 4)`

`(g\circ f)(x) = ( {x + 4)}^(3)`

We now substitute x=-3 to obtain:

`(g\circ f)( - 3) = ( { - 3 + 4)}^(3)`

`(g\circ f)( - 3) = ( {1)}^(3) = 1`