Question

If f(x)=x/3 and g(x)=6x+9 which is equal to f(g(x))

Answer 1

f(g(x)) = 2x + 3

Explanation:

f(g(x)) is called a composite function

To compute f(g(x)) simply substitute whatever g(x) definition is wherever there is an x in f(x)

We have
`g(x) = 6x + 9`

`f(x) = (x)/( 3)`

So instead of x just use 6x + 9 to get

`f(g(x)) = (6x+9)/(3) = 2x + 3`