Question

Jika diketahui f(x) = x/x+1 dan g(x) = x/x-1 maka f(x) - g(x) adalah

Answer 1

F(x) = x/(x+1)
g(x) = x/(x-1)

= f(x) - g(x)
= x/(x+1) - x/(x-1)
= x(x-1) - x(x+1) /(x+1)(x-1)
= x²-x -x²-x /(x²-1)
= -2x/(x²-1)

Answer 2

F(x) - g(x)
x/x+1 - x/x-1
x(x-1) - x(x+1) / (x+1)(x-1)
x² -x -x² -x / x² - 1
2x / x²-1