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If f:R→R, g(x)=3x^2+7 and f(x)=√x, then gοf(x) is equal to _______(a) 3x-7(b) 3x-9(c) 3x+7(d) 3x-8The question was asked in an internship interview.This is a very interesting question from Composition of Functions and Invertible Function in chapter Relations and Functions of Mathematics – Class 12

Answer»

Correct OPTION is (C) 3x+7

For explanation I would SAY: Given that, G(x)=3x^2+7 and F(x)=√x

∴ gοf(x)=g(f(x))=g(√x)=3(√x)^2+7=3x+7.

Hence, gοf(x)=3x+7.



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