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If (f(x)=\frac{1}{x}) and (g(x)=x-1) then what is the domain of ((f\circ g)(x)+(g\circ f)(x))?यदि (f(x)=\frac{1}{x}) और (g(x)=x-1) हैं तो ((f\circ g)(x)+(g\circ f)(x)) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R}-{0,1})\(\mathbb{R}-{0,1})
((f\circ g)(x)=\frac{1}{x-1}) needs (x\ne 1) and ((g\circ f)(x)=\frac{1}{x}-1) needs (x\ne 0). In the sum both restrictions combine.((f\circ g)(x)=\frac{1}{x-1}) के लिए (x\ne 1) और ((g\circ f)(x)=\frac{1}{x}-1) के लिए (x\ne 0)। योग में दोनों प्रतिबंध मिलते हैं।
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