Relations & Functions
Range of Functions
Grade 12
Question:
<p>If \(f(x) = \sin\left[\log\left(\frac{4-x^2}{1-x}\right)\right]; x \in \mathbb{R}\), then range of \(f(x)\) is given by:</p>
<p>(a) \([-1, 1]\)</p>
<p>(b) \([0, 1]\)</p>
<p>(c) \((-1, 1)\)</p>
<p>(d) None of these</p>
Step-by-Step Solution
Key Concept: Determine the domain where the logarithmic argument is positive, then find the range of the resulting sine function.
<p>Solution not provided in source text.</p>
Correct Answer: a