यदि \(f(x)=\lfloor x\rfloor\) और \(g(x)=x-\lfloor x\rfloor\) हैं, तो ((f+2g)(x)) का \(x=\frac{7}{3}\) पर मान क्या है?

If \(f(x)=\lfloor x\rfloor\) and \(g(x)=x-\lfloor x\rfloor\), what is the value of ((f+2g)(x)) at \(x=\frac{7}{3}\)?

Author: Muft Shiksha Editorial Team Published: Updated:
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Correct Answer

A. \(\frac{8}{3}\)

Explanation

Simple Explanation

\(\lfloor\frac{7}{3}\rfloor=2\) और \(g\left(\frac{7}{3}\right)=\frac{1}{3}\), इसलिए मान \(2+\frac{2}{3}=\frac{8}{3}\) है। पूर्णांक और भिन्न भाग अलग निकालें। / \(\lfloor\frac{7}{3}\rfloor=2\) and \(g\left(\frac{7}{3}\right)=\frac{1}{3}\), so the value is \(2+\frac{2}{3}=\frac{8}{3}\). Find integer and fractional parts separately.

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(f(x)=\lfloor x\rfloor\) और \(g(x)=x-\lfloor x\rfloor\) हैं, तो ((f+2g)(x)) का \(x=\frac{7}{3}\) पर मान क्या है? / If \(f(x)=\lfloor x\rfloor\) and \(g(x)=x-\lfloor x\rfloor\), what is the value of ((f+2g)(x)) at \(x=\frac{7}{3}\)?

Correct Answer: A. \(\frac{8}{3}\). Explanation: \(\lfloor\frac{7}{3}\rfloor=2\) और \(g\left(\frac{7}{3}\right)=\frac{1}{3}\), इसलिए मान \(2+\frac{2}{3}=\frac{8}{3}\) है। पूर्णांक और भिन्न भाग अलग निकालें। / \(\lfloor\frac{7}{3}\rfloor=2\) and \(g\left(\frac{7}{3}\right)=\frac{1}{3}\), so the value is \(2+\frac{2}{3}=\frac{8}{3}\). Find integer and fractional parts separately.