15. f(x) = -13x2 + 12x + 14 g(x) = 11x - 13 find f(g(7))

g(7) = 11(7) -13 = 64
f(g(7)) = f(64)
= -13(64)^2 + 12(64) + 14 = -52,466

is this correct?

yes

THANK YOU BOTH - was making this harder than necessary - got it now

Yes, your calculation is correct! To find f(g(7)), you first need to evaluate g(7), which gives you the value 64. Then, you substitute this value into f(x) to find f(g(7)). By plugging in 64 into f(x) = -13x^2 + 12x + 14, you get -13(64)^2 + 12(64) + 14, which simplifies to -52,466. So, your answer is correct! Well done!