Given the function f(x) = 2x + 3 / 3x + 2 , x ≠ m , find the value of n if 4 f^-1(n) = 5

1
4 times by f^-1(n)=5 ???
yes.. the question is a bit tricky.. thanks for taking your time to answer. never mind if the answer goes wrong.. but, i didnt really understand the qs

Jawapan

2016-06-04T16:53:13+08:00
F(x) = n
let f^-1(n) = x
x = 2n + 3 / 3n + 2
3nx + 2x = 2n + 3
3nx - 2n = - 2x + 3
n ( 3x - 2 ) = - 2x + 3
n = - 2x + 3 / ( 3x - 2 )
f^-1(x) = - 2x + 3 / ( 3x - 2 )

4 x - 2n + 3 / ( 3n - 2 ) = 5
12n - 8 - 2n + 3 = 15n - 10
5n = - 8 + 3 + 10
5n = 5
n = 1
thanks :)
betul?
something wrong with the answer, but, I think I can work on it.. Thx again.. :)
T_T