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If (f(x)=\frac{2}{x}) and (g(x)=x^2), what is ((fg)(x)) and its domain?यदि (f(x)=\frac{2}{x}) और (g(x)=x^2) हैं, तो ((fg)(x)) क्या है और उसका प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2x, x \neq 0)(2x, x \neq 0)
((fg)(x)=\frac{2}{x}\cdot x^2=2x), but (x \neq 0) because of the original denominator. Keep original restrictions after simplification.((fg)(x)=\frac{2}{x}\cdot x^2=2x), पर मूल हर के कारण (x \neq 0)। सरलीकरण के बाद भी मूल प्रतिबंध रखें।
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