Question

Составьте сложные функции f(g(x)), f(f(x)), g(g(x))


1)f(x)=x-1, g(x)=3x-2,

Answer 1

f(g(x)) = (3x - 2) - 1 = 3x - 3

f(f(x)) = (x - 1) - 1 = x - 2

g(g(x)) = 3(3x - 2) - 2 = 9x - 8

Answer 2

1) f(g(x)) = f(3x-2) = 3x - 2 - 1 = 3x - 3

2) f(f(x)) = f(x-1) = x - 1 - 1 = x - 2

3) g(g(x)) = g(3x-2) = 3(3x - 2) -2 = 9x - 6 - 2 = 9x - 8