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If f:R→R, g(x)=3x^2+7 and f(x)=√x, then gοf(x) is equal to _______

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in Mathematics - Class 12 by (687k points)
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-8

The 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

1 Answer

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Best 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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