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GUJCET · Maths · Relations and Functions
Function \(f: R \rightarrow R , f(x)=2 x^2-5\) and \(g: R \rightarrow R , g(x)=\frac{x}{x^2+1}\) is defined then, \(g o f=\) ____________ .
- A \(\frac{2 x^2}{x^4+2 x^2-4}\)
- B \(\frac{2 x^2-5}{4 x^4+20 x^2+26}\)
- C \(\frac{2 x^2-5}{4 x^4-20 x^2+26}\)
- D \(\frac{2 x^2}{4 x^4-20 x^2+26}\)
Answer & Solution
Correct Answer
(C) \(\frac{2 x^2-5}{4 x^4-20 x^2+26}\)
Step-by-step Solution
Detailed explanation
\(g \circ f(x) = g(f(x))\) \(= \frac{f(x)}{(f(x))^2+1}\)
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