find f(g(3)) when given:

Question

f(x)= -2x²

g(x)=8x-17

Answer 1

f(x) = -2x²

g(x) = 8x - 17

Substitute 3 for x in the g function. Then substitute 7 for x in the f function.

f(g(3)) = f[8(3) - 17]

= f(24 - 17)

= f(7)

= -2(7)²

= -2(49) = -98