Question

If y=f(x)=(3x-5/2x-m) and f(y)=x, find the value of m?​

Answer 1

Answer:

m=3

Step-by-step explanation:

m = 3

equations are:

1) y = (3x-5)/(2x-m) and 2) x = (3y - 5)/(2y-m)

put x = 0 in first equation. Then, y = 5/m

substitute this value of y in 2nd equation and substitute 0 in RHS. You should get m=3. You can cross check by substituting another value of x (say 5/3). It should give you the same answer.

Hope this helps

Answer 2

Answer:

m=3

Step-by-step explanation:

LHS f(y) = 3y-5/2y-m

=3(3x-5/2x-m) - 5/2(3x-5/2x-m)- m

= 3(3x - 5) - 5/2(3x-5) - m

= 9x-15-5/6x-10-m

= 9x-20/6x -10 - m