Functions Question 577
Question: If function $ f(x)=\frac{1}{2}-\tan ( \frac{\pi x}{2} ) $ ; $ (-1<x<1) $ and $ g(x)=\sqrt{3+4x-4x^{2}} $ , then the domain of gof is
[IIT 1990]
Options:
A) $ (-1,\ 1) $
B) $ [ -\frac{1}{2},\ \frac{1}{2} ] $
C) $ [ -1,\ \frac{1}{2} ] $
D) $ [ -\frac{1}{2},\ -1 ] $
Show Answer
Answer:
Correct Answer: A
Solution:
Since domain of f and domain of composite function gof are same.