G (x) = 2x^2+3x+6

find g (p+3)

We're finding the function of (p+3), which means wherever there's an x, we're replacing it with (p+3).

2 (p+3) ^2 + 3 (p+3) + 6

Foil out (p+3) ^2.

2 (p^2 + 6p + 9) + 3 (p+3) + 6

Distribute.

2p^2 + 12p + 18 + 3p + 9 + 6

Add like terms.

g (p+3) = 2p^2 + 15p + 33