Question

Solve it every process

Answer 1

g(x) = 2x + 3

f(x) = x^2 + 7

g(f(x)) = 2(x^2 + 7) + 3

g(f(x)) = 2x^2 + 14 + 3

g(f(x)) = 2x^2 + 17

when g(f(x)) = 25 then

2x^2 + 17 = 25

2x^2 - 8 = 0

2(x^2 - 4) = 0

2(x+2)(x-2) = 0

x + 2 = 0; x = -2

x - 2 = 0; x = 2

Answer

x = 2 or - 2