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Question

Mathematics Question on Functions

If f: R→R is defined by f(x)=3x2-5 and g: R→R by g(x)=xx+1\frac{x}{x+1} then gof(x) is

A

3x2−59x4−30x2+26\frac{3x^2-5}{9x^4-30x^2+26}

B

3x2+59x4−6x2+26\frac{3x^2+5}{9x^4-6x^2+26}

C

3x2x4+2x2−4\frac{3x^2}{x^4+2x^2-4}

D

3x29x4+30x2−2\frac{3x^2}{9x^4+30x^2-2}

Answer

3x2−59x4−30x2+26\frac{3x^2-5}{9x^4-30x^2+26}

Explanation

Solution

The correct answer is(A): 3x2−59x4−30x2+26\frac{3x^2-5}{9x^4-30x^2+26}