Question

If f(x) = 5x²-4 and g(x) = x-2, what is f of g (-3)

Answer 1

You start with

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

You first find

`g(-3) = -3-2 = -5`

You then substitute that back into the first line

`f(g(-3)) = f(-5) = 5(-5)^2-4 = 125-4 = 121`

So,
`(f\circ g) (-3) = 121`