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If f(x) = x + 9 and g(x) = 9 - x, what is the value of (f + g)(x)?यदि f(x) = x + 9 और g(x) = 9 - x हैं, तो (f + g)(x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1818
The sum of two functions is defined pointwise: (f + g)(x) = f(x) + g(x). Therefore, (f + g)(x) = (x + 9) + (9 - x) = x - x + 18 = 18. Hence, option B is correct. Exam tip: the terms x and -x cancel each other, so the result is not 2x.दो फलनों के योग का नियम है: (f + g)(x) = f(x) + g(x)। अतः (f + g)(x) = (x + 9) + (9 - x) = x - x + 18 = 18। इसलिए सही उत्तर B है। ध्यान रखें कि x और -x एक-दूसरे को निरस्त कर देते हैं; इसे 2x नहीं माना जा सकता।
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