Question

Dada as funções F (x) = x + 3 e g (x) = x + 2, calcule

A) f (2)
B) g (2)
C) g (f ( x))
D) f (g (x))
E) f -1 (elevado)
F)g -1 (elevado)

Answer 1

F (x) = x + 3 e g (x) = x + 2

A) f (2) =  2 + 3 = 5

B) g (2) = 2 + 2 = 4

C) g (f ( x)) = x+3 + 2 ==> x + 5

D) f (g (x)) = x+2 + 3 ==> x + 5 

E) f -1 (elevado) => f(x) = x + 3 ==> x =  f -1(x) + 3 ==>  f -1(x) = x - 3

F)g -1 (elevado) => g(x) = x + 2 ==> x =  g -1(x) + 2 ==>  g -1(x) = x - 2