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
Correct Answer

A. \(\frac{x+14}{6})

Step 1

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.

Step 2

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.

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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))?

Correct Answer: A. \(\frac{x+14}{6}). Explanation: ((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। / ((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.

Which concept should I revise for this Mathematics MCQ?

((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.

What exam hint can help solve this Mathematics question?

((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।