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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-5|), it is not onto because which value is not obtained?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-5|) है, तो यह आच्छादी नहीं है क्योंकि कौन सा मान नहीं मिलता?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-2)(-2)
Step 1: (|x-5|) can never be negative. Step 2: The codomain (\mathbb{R}) contains (-2), but it has no preimage. Step 3: For absolute value functions from (\mathbb{R}) to (\mathbb{R}), check negative values.चरण 1: (|x-5|) कभी ऋणात्मक नहीं हो सकता। चरण 2: सहप्रांत (\mathbb{R}) में (-2) है, पर इसका कोई पूर्वप्रतिबिंब नहीं। चरण 3: निरपेक्ष मान फलन को (\mathbb{R}\to\mathbb{R}) पर जाँचते समय ऋणात्मक मान देखें।
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