Question

Mohon dibantunya!
3. Diketahui f(x) = (x-4)/(x+2) tentukanlah
a. f^(-1) (x)
b. f^(-1) (-1)

Answer 1

Verified answer

Kelas 10 Matematika
Bab Fungsi Komposisi

f(x) = (ax + b)/(cx + d)f^-1 (x) = (-dx + b)/(cx - a)

a] f(x) = (x - 4)/(x + 2)
f^-1 (x) = (-2x - 4) / (x - 1)
f^-1 (x) = (2x + 4) / (1 - x)

b] f^-1 (-1) = (2 . (-1) + 4) / (1 - (-1))
f^-1 (-1) = (-2 + 4)/2
f^-1 (-1) = 1