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If \(f(x)=7-x\) and \(g(x)=x+1\), what is the value of \((f-g)(3)\)?यदि \(f(x)=7-x\) और \(g(x)=x+1\) हों, तो \((f-g)(3)\) का मान क्या है?
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For the difference of two functions, \((f-g)(x)=f(x)-g(x)\). Thus, \(f(3)=7-3=4\) and \(g(3)=3+1=4\), so \((f-g)(3)=4-4=0\). Exam tip: evaluate both functions at the same input before subtracting.फलनों के अंतर के लिए \((f-g)(x)=f(x)-g(x)\)। इसलिए \(f(3)=7-3=4\) और \(g(3)=3+1=4\), अतः \((f-g)(3)=4-4=0\)। ध्यान रखें कि दोनों फलनों में समान \(x\)-मान रखने के बाद घटाव करना है।
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