Question

F(x) = 4x-2
gof(x) = x pangkat 2 -4x+1
tentukan g(x)?

Answer 1

Gof(x) = g(f(x))
x^2-4x+1 = g(4x-2)
kita misalkan 4x-2 = t
4x= t +2
x = t+2 /4

(t+2/4)^2 - 4 (t+2/4) +1 = g(t)
t^2+4t+4 /16 - (4t+8 /4) + 1 =gt
t^2-12t-12 / 16 = gt
g(x) = x^2-12x-12 /16