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Question

Mathematics Question on composite of functions

Let f : R→R be defined by f(x)= 3x2-5 and g : R→R by g(x)=xx2+1\frac{x}{x^2+1} then gof is

A

3x2x4+2x24\frac{3x^2}{x^4+2x^2-4}

B

3x259x430x226\frac{3x^2-5}{9x^4-30x^2-26}

C

3x29x4+30x22\frac{3x^2}{9x^4+30x^2-2}

D

3x259x46x2+26\frac{3x^2-5}{9x^4-6x^2+26}

Answer

3x259x430x226\frac{3x^2-5}{9x^4-30x^2-26}

Explanation

Solution

The correct answer is (B) : 3x259x430x226\frac{3x^2-5}{9x^4-30x^2-26}.