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If (f(x)=x^2) and (g(x)=\frac{1}{x}), what is the solution set of ((fg)(x)=x)?यदि (f(x)=x^2) और (g(x)=\frac{1}{x}) हैं, तो ((fg)(x)=x) का हल-समुच्चय क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}-{0} )( \mathbb{R}-{0} )
((fg)(x)=x^2\cdot\frac{1}{x}=x), but (x=0) is not in the domain. Hence every non-zero real number is a solution.((fg)(x)=x^2\cdot\frac{1}{x}=x), पर (x=0) डोमेन में नहीं है। अतः हर अशून्य वास्तविक संख्या हल है।
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