यदि (f(x)=\frac{2x+1}{3}) और (g(x)=\frac{x-4}{2}) हैं तो ((f-g)(x)) क्या है?
If (f(x)=\frac{2x+1}{3}) and (g(x)=\frac{x-4}{2}) then what is ((f-g)(x))?
Explanation opens after your attempt
A. \(\frac{x+14}{6})
Concept
((f-g)(x)=\frac{2x+1}{3}-\frac{x-4}{2}=\frac{4x+2-3x+12}{6}=\frac{x+14}{6}). Use the least common denominator for fractions.
Why this answer is correct
The correct answer is A. \(\frac{x+14}{6}). ((f-g)(x)=\frac{2x+1}{3}-\frac{x-4}{2}=\frac{4x+2-3x+12}{6}=\frac{x+14}{6}). Use the least common denominator for fractions.
Exam Tip
((f-g)(x)=\frac{2x+1}{3}-\frac{x-4}{2}=\frac{4x+2-3x+12}{6}=\frac{x+14}{6})। भिन्नों में लघुत्तम समापवर्त्य लें।
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