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If (f(x)=\frac{x^2-1}{x^2+1}) and (g(x)=\frac{2x}{x^2+1}) then what is the value of ((f^2+g^2)(x))?यदि (f(x)=\frac{x^2-1}{x^2+1}) और (g(x)=\frac{2x}{x^2+1}) हैं तो ((f^2+g^2)(x)) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1)(1)
Here (f^2(x)+g^2(x)=\frac{(x^2-1)^2+(2x)^2}{(x^2+1)^2}=\frac{(x^2+1)^2}{(x^2+1)^2}=1). Recognise the identity while adding squares.यहाँ (f^2(x)+g^2(x)=\frac{(x^2-1)^2+(2x)^2}{(x^2+1)^2}=\frac{(x^2+1)^2}{(x^2+1)^2}=1)। वर्गों को जोड़ते समय सर्वसमिका पहचानें।
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