tentukan nilai (f o h)^-1 (x)
Matematika
Chaachaa13
Pertanyaan
tentukan nilai (f o h)^-1 (x)
1 Jawaban
-
1. Jawaban dedenkusnandar
f(x) = 1 / (2x - 1)
g(x) = - 1/(x - 3)
(fog) (x)
= 1 / (2 (-1/(x - 3) ) - 1)
= 1 / ( -2 / (x - 3) ) - 1)
= 1 / ( ( - 2 - x + 3) / (x - 3))
= 1 / (-x + 1) / (x - 3)
= (x - 3) / (-x + 1)
y = (x - 3) / (-x + 1)
y(-x + 1) = x - 3
-xy + y = x - 3
-xy - x = -3 - y
x (-y - 1) = -3 - y
x = - (3 + y) / - (1 + y)
(fog) -¹(x) = (3 + x) / (x + 1)