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