If f (x) = sin2 x and the composite function g(f (x) = |sin x|, then f – InterviewSolution

1.

If f (x) = sin2 x and the composite function g(f (x) = |sin x|, then function g (x) is equal to(a) \(\sqrt{x-1}\)(b) \(\sqrt{x}\)(c) \(\sqrt{x+1}\)(d) – \(\sqrt{x}\)

Answer»

Answer : (b) \(\sqrt{x}\)

Given f (x) = sin² x and g(f (x)) = | sin x |

⇒ g(sin²x) = | sin x |

⇒ g(sin² x) = \(\sqrt{sin^2 x}\)

∴ g (x) = \(\sqrt{x}\)

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