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 ] $

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Answer:

Correct Answer: A

Solution:

Since domain of f and domain of composite function gof are same.