Question

Sabendo f(x)= x-3 e g(x)= -3x+4, determine: A) f(f(x)) B)f(g(x)) C)f(g(x))

Answer 1

f(x)= x-3
g(x)= -3x+4

A) f(f(x)) = x - 3 ==> x - 3 - 3 ==> x - 6

=====================================================
B)f(g(x)) = - 3x - 3 + 4 ==> - 3x + 1

======================================================
C)g(f(x)) = - 3(x - 3) + 4 ==> - 3x + 9 + 4 ==> - 3x + 13

Answer 2

f(x)= x-3 e g(x)= -3x+4

f(f(x)) = x -3
f(f(x)) = (x -3) -3
f(f(x)) = x  -6

f(g(x)) = x -3
f(g(x)) = (-3x +4) -3
f(g(x)) = -3x +1

g(g(x)) = -3x +4
g(g(x)) = -3(-3x +4) +4
g(g(x)) = 9x - 12 +4
g(g(x)) = 9x -8

g(f(x)) = -3x +4
g(f(x)) = -3(x -3) +4
g(f(x)) = -3x +9 +4
g(f(x)) = -3x + 13