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If (f:[0,\infty)\to[0,\infty)) and (f(x)=\sqrt{x}), what type of function is (f)?यदि (f:[0,\infty)\to[0,\infty)) और (f(x)=\sqrt{x}) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: (\sqrt{x}) increases on its domain ([0,\infty)). Step 2: If (\sqrt{a}=\sqrt{b}), then (a=b). Step 3: The square-root function is one-one on its proper domain.चरण 1: (\sqrt{x}) अपने प्रांत ([0,\infty)) पर बढ़ता है। चरण 2: यदि (\sqrt{a}=\sqrt{b}) हो तो (a=b) होता है। चरण 3: वर्गमूल फलन अपने सही प्रांत पर एकैकी होता है।
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