Question

Calcule
( F•g)(-2) e( g•f)(-2) sendo
a) f(x)=x-1 e g(x)=2x+½

Answer 1

Resposta:

·           (f○g)(-2) = - 9/2, (g○f)(-2) = - 11/2

Explicação passo a passo:

·

·           a) f(x) = x - 1, g(x) = 2x + 1/2

·           (f○g)(x) = (2x + 1/2) - 1       [ ∵  (f○g)(x) = f(g(x)) ]

·           (f○g)(x) = 2x + 1/2 - 1

·           (f○g)(x) = 2x - 1/2

·           (f○g)(-2) = 2(-2) - 1/2

·           (f○g)(-2) = - 4 - 1/2

·           (f○g)(-2) = - 9/2

·          

·           (g○f)(x) = 2(x - 1) + 1/2       [ ∵  (g○f)(x) = g(f(x)) ]

·           (g○f)(x) = 2x - 2 + 1/2

·           (g○f)(x) = 2x - 3/2

·           (g○f)(-2) = 2(-2) - 3/2

·           (g○f)(-2) = - 4 - 3/2

·           (g○f)(-2) = - 11/2