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If (f(x)=\sqrt{9-x^2}) and (g(x)=x+1), what is the domain of ((f+g)(x))?यदि (f(x)=\sqrt{9-x^2}) और (g(x)=x+1) हैं, तो ((f+g)(x)) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-3 \leq x \leq 3)(-3 \leq x \leq 3)
For the square root, (9-x^2 \geq 0), so (-3 \leq x \leq 3). The linear function gives no extra restriction.वर्गमूल के लिए (9-x^2 \geq 0), इसलिए (-3 \leq x \leq 3)। रैखिक फलन कोई अतिरिक्त प्रतिबंध नहीं देता।
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