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 \(x=\frac{7}{3}\)?
Explanation opens after your attempt
Correct Answer
A. \(\frac{8}{3}\)
Concept
\(\lfloor\frac{7}{3}\rfloor=2\) 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.
Why this answer is correct
The correct answer is A. \(\frac{8}{3}\). \(\lfloor\frac{7}{3}\rfloor=2\) 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.
Exam Tip
\(\lfloor\frac{7}{3}\rfloor=2\) 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।
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