Question

Diketahui f(x) = 1 per x+2
Jika f pangkat -1 (p) = -4
Tentukan nilai p

Answer 1

F(x) = 1/(x + 2)
1/(x + 2) = y
xy + 2y = 1
xy = 1 - 2y
x = (1 - 2y)/y
f^-1(x) = (1 - 2x)/x
f^1(p) = (1 - 2p)/p
-4 = (1 - 2p)/p
-4p = 1 - 2p
-2p = 1
p = -1/2