Question

Решите уравнение g(f(x)) = 2, если f(x) = 3x + 2; g(x) = –2x + 1.

Answer 1

$g(f(x)) = 2, \: f(x) = 3x + 2, \: g(x) = - 2x + 1$

$g(f(x)) = g(3x + 2) = - 2(3x + 2) + 1 = - 6x - 4 + 1 = - 6x - 3$

$g(f(x)) = 2: \\ - 6x - 3 = 2 \\ - 6x = 5 \\ 6x = - 5 \\ x = - \frac{5}{6}$