Functions Question 626

Question: If $ y=f(x)=\frac{ax+b}{cx-a} $ , then x is equal to

[AMU 2001]

Options:

A) $ 1/f(x) $

B) $ 1/f(y) $

C) $ yf(x) $

D) $ f(y) $

Show Answer

Answer:

Correct Answer: D

Solution:

$ y=\frac{ax+b}{cx-a} $
Þ $ x(cy-a)=b+ay $
Þ $ x=\frac{ay+b}{cy-a}=f(y) $ .