फलन \(f(x)=\operatorname{sgn}(x+3)\) का \(x=-3\) पर मान क्या है?

What is the value of \(f(x)=\operatorname{sgn}(x+3)\) at \(x=-3\)?

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

A. 0

Explanation

Simple Explanation

जब \(x=-3\), तब \(x+3=0\) होता है। साइनम फलन \(\operatorname{sgn}(t)\) के लिए \(t=0\) पर मान \(0\) होता है, इसलिए \(f(-3)=0\)। परीक्षा-युक्ति: \(\operatorname{sgn}(t)\) का मान क्रमशः \(-1,0,1\) होता है जब \(t<0,t=0,t>0\) हो। / When \(x=-3\), we get \(x+3=0\). The signum function \(\operatorname{sgn}(t)\) has value \(0\) at \(t=0\), so \(f(-3)=0\). Exam tip: \(\operatorname{sgn}(t)\) equals \(-1,0,1\) for \(t<0,t=0,t>0\), respectively.

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Mathematics Answer, Explanation and Revision Hints

फलन \(f(x)=\operatorname{sgn}(x+3)\) का \(x=-3\) पर मान क्या है? / What is the value of \(f(x)=\operatorname{sgn}(x+3)\) at \(x=-3\)?

Correct Answer: A. 0. Explanation: जब \(x=-3\), तब \(x+3=0\) होता है। साइनम फलन \(\operatorname{sgn}(t)\) के लिए \(t=0\) पर मान \(0\) होता है, इसलिए \(f(-3)=0\)। परीक्षा-युक्ति: \(\operatorname{sgn}(t)\) का मान क्रमशः \(-1,0,1\) होता है जब \(t<0,t=0,t>0\) हो। / When \(x=-3\), we get \(x+3=0\). The signum function \(\operatorname{sgn}(t)\) has value \(0\) at \(t=0\), so \(f(-3)=0\). Exam tip: \(\operatorname{sgn}(t)\) equals \(-1,0,1\) for \(t<0,t=0,t>0\), respectively.