Question

F(x) = 1-2x/3
(gof) (x) = 3x+2/2
Tentukan nilai (f-g) (x)

Answer 1

(gof)(x) = g(f(x))
(gof)(x) = g((1 - 2x)/3)
(3x + 2)/2 = g((1 - 2x)/3)
{3(3x) + 2}/2  = g(1 - 2x)
{3(3x-1) + 2}/2 = g(-2x)
{3[(3x-1)/-2] + 2}/2 = g(x)
{(3-9x)/2  +  2}/2 = g(x)
(3 - 9x)/4  +  1  =  g(x)