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If f(x) = x² + 2x and g(x) = x² − 2x, what is (f − g)(x)?यदि f(x) = x² + 2x और g(x) = x² − 2x हों, तो (f − g)(x) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 4x4x
By definition, (f − g)(x) = f(x) − g(x). Thus, (x² + 2x) − (x² − 2x) = x² + 2x − x² + 2x = 4x. The x² terms cancel, and subtracting the second function changes the sign of each of its terms.परिभाषा के अनुसार, (f − g)(x) = f(x) − g(x)। इसलिए (x² + 2x) − (x² − 2x) = x² + 2x − x² + 2x = 4x। यहाँ x² वाले पद कट जाते हैं और दूसरे फलन को घटाते समय उसके प्रत्येक पद का चिह्न बदल जाता है।
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