Tentukanlah nilai invers dari fungsi fungsi dibawah ini

Invers Fungsi

a.

f(x) = y = -x + 1

x = 1 – y

f^-1 (x) = 1 – x

b.

f(x) = y = -2 – x

x = -y – 2

f^-1 (x) = -x – 2

c.

f(x) = y = (x – 1)/(x + 2)

y(x + 2) = x – 1

xy – x = -2y – 1

x(y – 1) = -2y – 1

x = (-2y – 1)/(y – 1)

f^-1 (x) = (-2x – 1)/(x – 1)

dan x ≠ 1

d.

f(x) = y = 2x/(x – 1)

y(x – 1) = 2x

xy – 2x = y

x(y – 2) = y

x = y/(y – 2)

f^-1 (x) = x/(x – 2)

dan x ≠ 2