Question

alguem me ajuda por favor​

Answer 1

01) g(f(x)) = g(3x) = -2 · (3x) + 1 = -6x + 1.

02) a) f(g(x)) = f(x - 1) = 4 · (x - 1) + 3 = 4x - 4 + 3 = 4x - 1.

b) g(f(x)) = g(4x + 3) = 4x + 3 - 1 = 4x + 2.

c) f(g(3)) = f(3 - 1) = f(2) = 4 · 2 + 3 = 8 + 3 = 11.

d) g(f(3)) = g(4 · 3 + 3) = g(12 + 3) = g(15) = 15 - 1 = 14.

03) g(-8) = -2 · (-8)² + (-8) - 1 =

= -2 · 64 - 8 - 1 =

= -128 - 9 =

= -137

⇒ f(g(-8)) = f(-137) = 4 · (-137) - 4 = -548 - 4 = -552.

04) f(g(x)) = x + 4

3 · g(x) - 4 = x + 4

3 · g(x) = x + 8

g(x) = (x + 8)/3

⇒ g(1) = (1 + 8)/3 = 9/3 = 3.