Question:medium
Let \( f(x)=\log_5 x \, (x > 0) \) and \( g(x)=\cos^{-1}(x) \, (-1\le x \le 1) \). Then the domain of \( g \circ f \) is
Let \( f(x)=\log_5 x \, (x > 0) \) and \( g(x)=\cos^{-1}(x) \, (-1\le x \le 1) \). Then the domain of \( g \circ f \) is
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For composite functions, always restrict the inner function so its output fits the domain of the outer function.
Updated On: Apr 21, 2026
- \( (0,1] \)
- \( [-1,a) \)
- \( [0,a) \)
- \( \left[\frac{1}{5},5\right] \)
- \( [-1,5] \)
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The Correct Option is D
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