Question:medium
If \( g(f(x)) = |\sin x| \) and \( f(g(x)) = (\sin \sqrt{x})^2 \), then:
If \( g(f(x)) = |\sin x| \) and \( f(g(x)) = (\sin \sqrt{x})^2 \), then:
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When solving composite function equations, substitute each option into both given equations to check consistency. Ensure the domain and range align with the problem constraints.
Updated On: Nov 28, 2025
- \( f(x) = \sin^2 x, \, g(x) = \sqrt{x} \)
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