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If \(f(x)=x^2+5x\) and \(g(x)=x^2+2x\), what is the value of \((f-g)(x)\)?यदि \(f(x)=x^2+5x\) और \(g(x)=x^2+2x\) हैं, तो \((f-g)(x)\) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(3x\)\(3x\)
The difference of two functions is defined as \((f-g)(x)=f(x)-g(x)\). Therefore, \((f-g)(x)=(x^2+5x)-(x^2+2x)=3x\). The like terms \(x^2\) cancel each other. Exam tip: when subtracting functions, change the sign of every term in the second function before combining like terms.दो फलनों का अंतर \((f-g)(x)=f(x)-g(x)\) होता है। अतः \((f-g)(x)=(x^2+5x)-(x^2+2x)=3x\)। यहाँ समान \(x^2\) पद एक-दूसरे को काट देते हैं। परीक्षा-युक्ति: फलनों का घटाव करते समय दूसरे फलन के प्रत्येक पद के आगे ऋण चिह्न लगाएँ।
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