Functions Question 390
Question: Let f and g be functions defined by $ f(x)=\frac{x}{x+1}, $ $ g(x)=\frac{x}{1-x} $ , then $ (fog)(x) $ is
[SCRA 1996]
Options:
A) $ \frac{1}{x} $
B) $ \frac{1}{x-1} $
C) $ x-1 $
D) x
Show Answer
Answer:
Correct Answer: D
Solution:
$ (fog)(x)=f(g(x))=f( \frac{x}{1-x} )=\frac{\frac{x}{1-x}}{\frac{x}{1-x}+1}=\frac{x}{x+1-x}=x $ .
BETA
