Question

Diket f(x)=3x-1 , g(x)=1/2×-5
Tentukan:
a.(gof)(x)
b.(fog)(x)
c.(gof)(2)
d.(fog)(1/2)

Answer 1

A. (gof)(x) = 1/2 (3x-1) - 5 = (3x-1)/2 - 10/2 = (3x-11)/2

b. (fog)(x) = 3(1/2x-5) - 1 = 3/2 x - 15 - 1 = 1 1/2 x - 16

c. (gof)(2) = (3x-11)/2 = (3 × 2-11)/2 = (6 - 11)/2 = -5/2 = -2 1/2

d. (fog)(1/2) = 1 1/2 x - 16 = 3/2 × 1/2 - 16 = 3/4 - 64/4 = 61/4 = 15 1/4