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) $ .