Question

Dadas as funções f(x)= x²-1 e
g(x)= 2x, calcule.

a) f(g(x)

b)g(f(x)

c)f(g(2)

d)g(f(2)​

Answer 1

Explicação passo-a-passo:

a)

f(g(x)) = f(2x)

f(g(x)) = (2x)² - 1

f(g(x)) = 4x² - 1

b)

g(f(x)) = g(x² - 1)

g(f(x)) = 2.(x² - 1)

g(f(x)) = 2x² - 2

c)

f(g(x)) = 4x² - 1

f(g(2)) = 4.2² - 1

f(g(2)) = 4.4 - 1

f(g(2)) = 16 - 1

f(g(2)) = 15

d)

g(f(x)) = 2x² - 2

g(f(2)) = 2.2² - 2

g(f(2)) = 2.4 - 2

g(f(2)) = 8 - 2

g(f(2)) = 6