Question

Diketahui f:x-->x-1/x+2. Range dalan bentuk himpunan pasangan berurutan dengan domain f={-1,1/2,0,1} adalah...


jawab dengan cara ya :)

Answer 1

Domain = daerah asal = {-1,1/2,0,1}

f(x) = (x-1)/(x+2)

f(-1) = (-1-1)/(-1+2) = -2/1 = -2
f(1/2) = (1/2 - 1)/(1/2 + 2) = -1/2 / 5/2 = -1/5
f(0) = (0-1)/(0+2) = -1/2
f(1) = (1-1)/(1+2) = 0/3 = 0

jadi, range dlm bentuk himp.pasangan berurutan :
{(-1,-2);(1/2,-1/5);(0,-1/2);(1,0)}