0 reads0 ratings0 helpful
If \(f:(0,\infty)\to\mathbb{R}\) and \(f(x)=x+\frac{1}{x}\), choose the correct statement about (f).यदि \(f:(0,\infty)\to\mathbb{R}\) तथा \(f(x)=x+\frac{1}{x}\) है, तो (f) के लिए सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (f) is not one-one because \(f(2)=f\left(\frac{1}{2}\right)\)(f) एक-एक नहीं है क्योंकि \(f(2)=f\left(\frac{1}{2}\right)\)
Step 1: Look for different inputs giving the same value. Step 2: \(f(2)=2+\frac{1}{2}=\frac{5}{2}\) and \(f\left(\frac{1}{2}\right)=\frac{1}{2}+2=\frac{5}{2}\). Step 3: Same value at different inputs makes the function not one-one.चरण 1: समान मान देने वाले अलग आगत ढूंढें। चरण 2: \(f(2)=2+\frac{1}{2}=\frac{5}{2}\) और \(f\left(\frac{1}{2}\right)=\frac{1}{2}+2=\frac{5}{2}\)। चरण 3: अलग आगतों पर समान मान मिलने से फलन एक-एक नहीं रहता।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
