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If (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x^2}), what is (f)?यदि (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x^2}), तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not one-oneएकैकी नहीं
Step 1: Here both (x) and (-x) are in the domain. Step 2: (f(2)=\frac{1}{4}) and (f(-2)=\frac{1}{4}), while (2\neq -2). Step 3: Different inputs with the same image prove that the function is not one-one.चरण 1: यहाँ (x) और (-x) दोनों क्षेत्र में हैं। चरण 2: (f(2)=\frac{1}{4}) और (f(-2)=\frac{1}{4}), जबकि (2\neq -2)। चरण 3: समान छवि देने वाले अलग आगत मिलते ही एकैकीता समाप्त होती है।
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