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Which statement is correct about the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x)?फलन (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x) के बारे में सही कथन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी है
Step 1: Assume (a>b). Step 2: Then (a^3>b^3) and (a>b), so (a^3+a>b^3+b). Step 3: A strictly increasing function is one-one.चरण 1: मान लें (a>b)। चरण 2: (a^3>b^3) और (a>b), इसलिए (a^3+a>b^3+b)। चरण 3: यदि फलन सख्ती से बढ़ता है, तो वह एकैकी होता है।
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