Question

dadas as funções F(x) = 2x-3 e g(x) = x²+1 , determine.

a) f(g(2))
b) g(f(-1))

Answer 1

f(x) = 2x - 3

g(x) = x² + 1

a)

f(g(2)) = f(2² + 1) = f(5) = 2.5 - 3 = 10 - 3 = 7

b)

g(f(-1)) = g(2.(-1) - 3) = g(-5) = (-5)² + 1 = 26

Answer 2

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

A) f(g(2))

g(2) = 2^2 + 1
g(2) = 4 + 1
g(2) = 5

f(g(2)) = f(5)
f(5) = 2 . 5 - 3
f(5) = 10 - 3
f(5) = 7

Resposta = 7

B) g(f(-1))

f(-1) = 2 . (-1) - 3
f(-1) = -2 - 3
f(-1) = -5

g(f(-1)) = g(-5)
g(-5) = (-5)^2 + 1
g(-5) = 25 + 1
g(-5) = 26

Resposta = 26

Espero ter lhe ajudado!