यदि (f(x)=\frac{1}{x-2}) और (g(x)=\frac{1}{x+4}) हैं, तो ((f-g)(x)) क्या है?

If (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+4}), what is ((f-g)(x))?

Explanation opens after your attempt
Correct Answer

B. (\frac{6}{(x-2)(x+4)})

Step 1

Concept

((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)}). Keep numerator signs carefully while using a common denominator.

Step 2

Why this answer is correct

The correct answer is B. (\frac{6}{(x-2)(x+4)}). ((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)}). Keep numerator signs carefully while using a common denominator.

Step 3

Exam Tip

((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)})। समान हर बनाते समय अंश के चिन्ह ध्यान से रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{1}{x-2}) और (g(x)=\frac{1}{x+4}) हैं, तो ((f-g)(x)) क्या है? / If (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+4}), what is ((f-g)(x))?

Correct Answer: B. (\frac{6}{(x-2)(x+4)}). Explanation: ((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)})। समान हर बनाते समय अंश के चिन्ह ध्यान से रखें। / ((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)}). Keep numerator signs carefully while using a common denominator.

Which concept should I revise for this Mathematics MCQ?

((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)}). Keep numerator signs carefully while using a common denominator.

What exam hint can help solve this Mathematics question?

((f-g)(x)=\frac{x+4-(x-2)}{(x-2)(x+4)}=\frac{6}{(x-2)(x+4)})। समान हर बनाते समय अंश के चिन्ह ध्यान से रखें।