फलन (f(x)=\log_2\(x^2-5x+6\)) का प्रांत क्या है?

What is the domain of (f(x)=\log_2\(x^2-5x+6\))?

Explanation opens after your attempt
Correct Answer

A. (\(-\infty,2\)\cup\(3,\infty\))

Step 1

Concept

For a logarithm, \(x^2-5x+6>0\) is needed. Since ((x-2)(x-3)>0), (x<2) or (x>3).

Step 2

Why this answer is correct

The correct answer is A. (\(-\infty,2\)\cup\(3,\infty\)). For a logarithm, \(x^2-5x+6>0\) is needed. Since ((x-2)(x-3)>0), (x<2) or (x>3).

Step 3

Exam Tip

लघुगणक के लिए \(x^2-5x+6>0\) चाहिए। ((x-2)(x-3)>0), इसलिए (x<2) या (x>3)।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\log_2\(x^2-5x+6\)) का प्रांत क्या है? / What is the domain of (f(x)=\log_2\(x^2-5x+6\))?

Correct Answer: A. (\(-\infty,2\)\cup\(3,\infty\)). Explanation: लघुगणक के लिए \(x^2-5x+6>0\) चाहिए। ((x-2)(x-3)>0), इसलिए (x<2) या (x>3)। / For a logarithm, \(x^2-5x+6>0\) is needed. Since ((x-2)(x-3)>0), (x<2) or (x>3).

Which concept should I revise for this Mathematics MCQ?

For a logarithm, \(x^2-5x+6>0\) is needed. Since ((x-2)(x-3)>0), (x<2) or (x>3).

What exam hint can help solve this Mathematics question?

लघुगणक के लिए \(x^2-5x+6>0\) चाहिए। ((x-2)(x-3)>0), इसलिए (x<2) या (x>3)।