Question

Diketahui f(x)=2x-1 dan (gof)(x)=4Xkuadrat-10x+5 nilai g(-1)

Answer 1

Misalkan t = 2x-1 maka x = t+1 / 2
f(x)=2x-1(gof) (x) = 4x² - 10 x + 5
g(2x-1)  = 4x² - 10 x + 5
g (t)      = 4 (t+1 /2)² + 10 (t+1 / 2) + 5
g (t)      = (t+1)² + 5(t+1) + 5
maka g(-1)
g(-1)    = (-1+1)² + 5(-1+1) + 5
g(-1)    = 0² + 5.0 + 5
           = 5

Jadi g(-1) = 5