If f(x) = x^ + 3x-1 and g(x) =2x + 3. find fog

The correct equation is fog = 4x^2 + 18x + 17

Step-by-step explanation:

In order to find fog, you need to put the g(x) equation in for x in the f(x) equation. Then simplify.

f(x) = x^2 + 3x - 1

fog = (2x + 3)^2 + 3(2x + 3) - 1

fog = (4x^2 + 12x + 9) + (6x + 9) - 1

fog = 4x^2 + 18x + 17

the answer in simplest form is 16