Question

Sendo F(x)= 2x-1 e G(x)= x²-1

a) F(g(0))
b)G(f(2))
c)F(f(-1))
d)G(g(-2))

me ajudem porfavorzinho!!!​

Answer 1

Explicação passo-a-passo:

a) f(g(0))

• g(0) = 0² - 1

g(0) = 0 - 1

g(0) = -1

Assim, f(g(0)) = f(-1)

• f(-1) = 2.(-1) - 1

f(-1) = -2 - 1

f(-1) = -3

Logo, f(g(0)) = -3

b) g(f(2))

• f(2) = 2.2 - 1

f(2) = 4 - 1

f(2) = 3

Assim, g(f(2)) = g(3)

• g(3) = 3² - 1

g(3) = 9 - 1

g(3) = 8

Logo, g(f(2)) = 8

c) f(f(-1))

• f(-1) = 2.(-1) - 1

f(-1) = -2 - 1

f(-1) = -3

Assim, f(f(-1)) = f(-3)

• f(-3) = 2.(-3) - 1

f(-3) = -6 - 1

f(-3) = -7

Logo, f(f(-1)) = -7

d) g(g(-2))

• g(-2) = (-2)² - 1

g(-2) = 4 - 1

g(-2) = 3

Assim, g(g(-2)) = g(3)

• g(3) = 3² - 1

g(3) = 9 - 1

g(3) = 8

Logo, g(g(-2)) = 8