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If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x-1,&x\le3\x+2,&x\ge3\end{cases}), which statement is correct?यदि (f:\mathbb{R}\to\mathbb{R}) को (f(x)=\begin{cases}2x-1,&x\le3\x+2,&x\ge3\end{cases}) से दिया गया है, तो सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is a function because both rules give (5) at (x=3)यह फलन है क्योंकि (x=3) पर दोनों नियम (5) देते हैं
At (x=3), (2\cdot3-1=5) and (3+2=5), so there is no conflict. Overlap is valid when both values agree.(x=3) पर (2\cdot3-1=5) और (3+2=5) हैं, इसलिए कोई विरोध नहीं है। ओवरलैप तब मान्य है जब दोनों मान समान हों।
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