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