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For which value does the rule (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{ax+6}), define a function on all of (\mathbb{R})?किस मान के लिए नियम (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{ax+6}), पूरे (\mathbb{R}) पर फलन होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\ a=0) / (a=0)(\ a=0) / (a=0)
The expression (ax+6) stays non-negative for all real (x) only when (a=0). For a square-root function on all (\mathbb{R}), the linear part must be constant non-negative.(ax+6) सभी वास्तविक (x) के लिए अऋण तभी रहेगा जब (a=0) हो। पूरे (\mathbb{R}) पर मूल फलन में रैखिक भाग स्थिर अऋण होना चाहिए।
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