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If f:R→R f(x)=cos⁡x and g(x)=7x^3+6, then fοg(x) is ______(a) cos⁡(7x^3+6)(b) cos⁡x(c) cos⁡(x^3)(d) \(cos(\frac{x^3+6}{7})\)I had been asked this question in an interview for job.I would like to ask this question from Composition of Functions and Invertible Function in portion Relations and Functions of Mathematics – Class 12

Answer»

Correct answer is (a) cos⁡(7x^3+6)

EASIEST explanation: GIVEN that, F:R→R, f(x)=cos⁡x and G(x)=7x^3+6

Then, fοg(x) = f(g(x))=cos⁡(g(x))=cos⁡(7x^3+6).



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