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If (f(x)=\frac{1}{x-2}) and (g(x)=x+4), what is the domain of ((f+g)(x))?यदि (f(x)=\frac{1}{x-2}) और (g(x)=x+4) हों, तो ((f+g)(x)) का domain क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}-{2})(\mathbb{R}-{2})
In (f(x)), the denominator (x-2) cannot be zero, so (x\neq 2). The polynomial (g(x)) is defined for all real (x).(f(x)) में denominator (x-2) शून्य नहीं हो सकता, इसलिए (x\neq 2)। polynomial (g(x)) सभी real (x) पर defined है।
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