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If (f(x)=\frac{1}{x}) and (g(x)=x^2), simplify ((fg)(x)).यदि (f(x)=\frac{1}{x}) और (g(x)=x^2) हों, तो ((fg)(x)) को सरल करें।
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Correct answer:सही उत्तर: (x), (x\ne 0)(x), (x\ne 0)
((fg)(x)=\frac{1}{x}\cdot x^2=x), but the original domain keeps (x\ne 0). Restrictions do not disappear after simplification.((fg)(x)=\frac{1}{x}\cdot x^2=x), पर मूल डोमेन में (x\ne 0) रहेगा। सरल करने से हटे प्रतिबंध वापस नहीं आते।
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