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If (f:\mathbb{R}-{2}\to\mathbb{R}) and (f(x)=\frac{1}{x-2}), what type of function is (f)?यदि (f:\mathbb{R}-{2}\to\mathbb{R}) और (f(x)=\frac{1}{x-2}) हो तो (f) कैसा है?
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Correct answer:सही उत्तर: One-oneएकैकी
Step 1: From (f(a)=f(b)), we get (\frac{1}{a-2}=\frac{1}{b-2}). Step 2: Since (a\neq2) and (b\neq2), we get (a-2=b-2), hence (a=b). Step 3: The value making the denominator zero must be removed from the domain.चरण 1: (f(a)=f(b)) से (\frac{1}{a-2}=\frac{1}{b-2}) मिलता है। चरण 2: (a\neq2) और (b\neq2) होने से (a-2=b-2) इसलिए (a=b)। चरण 3: हर को शून्य करने वाले मान को प्रांत से हटाना जरूरी है।
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