यदि (f(x)=\frac{1}{\sqrt{x-1}}) और (g(x)=x-2) हों, तो ((f+g)(x)) का डोमेन क्या है?

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

Explanation opens after your attempt
Correct Answer

A. (\(1,\infty\))

Step 1

Concept

The denominator has \(\sqrt{x-1}\), so (x-1>0) is needed. Hence the domain is (\(1,\infty\)).

Step 2

Why this answer is correct

The correct answer is A. (\(1,\infty\)). The denominator has \(\sqrt{x-1}\), so (x-1>0) is needed. Hence the domain is (\(1,\infty\)).

Step 3

Exam Tip

हर में \(\sqrt{x-1}\) है, इसलिए (x-1>0) चाहिए। अतः डोमेन (\(1,\infty\)) है।

Question me issue ya doubt hai?

Answer, explanation, typing mistake ya suggestion directly hamari team ko bhejein. 📱Helpline (Call / WhatsApp): +91 7272824365

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{1}{\sqrt{x-1}}) और (g(x)=x-2) हों, तो ((f+g)(x)) का डोमेन क्या है? / If (f(x)=\frac{1}{\sqrt{x-1}}) and (g(x)=x-2), what is the domain of ((f+g)(x))?

Correct Answer: A. (\(1,\infty\)). Explanation: हर में \(\sqrt{x-1}\) है, इसलिए (x-1>0) चाहिए। अतः डोमेन (\(1,\infty\)) है। / The denominator has \(\sqrt{x-1}\), so (x-1>0) is needed. Hence the domain is (\(1,\infty\)).

Which concept should I revise for this Mathematics MCQ?

The denominator has \(\sqrt{x-1}\), so (x-1>0) is needed. Hence the domain is (\(1,\infty\)).

What exam hint can help solve this Mathematics question?

हर में \(\sqrt{x-1}\) है, इसलिए (x-1>0) चाहिए। अतः डोमेन (\(1,\infty\)) है।