If \(f(x)=12x-6\) and \(g(x)=6\), what is the value of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=12x-6\) और \(g(x)=6\), तो \(\left(\frac{f}{g}\right)(x)\) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(2x-1\)\(2x-1\)
By the definition of the quotient of two functions, \(\left(\frac{f}{g}\right)(x)=\frac{f(x)}{g(x)}\). Hence, \(\frac{12x-6}{6}=\frac{12x}{6}-\frac{6}{6}=2x-1\). Therefore, option A is correct. Exam tip: When dividing an algebraic expression by a constant, divide every term in the numerator by that constant.दो फलनों के भागफल की परिभाषा के अनुसार \(\left(\frac{f}{g}\right)(x)=\frac{f(x)}{g(x)}\)। इसलिए \(\frac{12x-6}{6}=\frac{12x}{6}-\frac{6}{6}=2x-1\)। अतः सही उत्तर विकल्प A है। परीक्षा-युक्ति: स्थिर हर से भाग देते समय अंश के प्रत्येक पद को उस हर से भाग दें।
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