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A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal to

  • a)
    – f(x)

  • b)
    f(x)

  • c)
    f(a) + f (a – x)

  • d)
    f(– x)

Correct answer is option 'A'. Can you explain this answer?
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A real valued function f(x) satisfies the functional equation f(x &nda...
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A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal toa)– f(x)b)f(x)c)f(a) + f (a – x)d)f(– x)Correct answer is option 'A'. Can you explain this answer?
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A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal toa)– f(x)b)f(x)c)f(a) + f (a – x)d)f(– x)Correct answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal toa)– f(x)b)f(x)c)f(a) + f (a – x)d)f(– x)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y) – f(a – x) f(a + y) where a is a given constant and f(0) = 1, f(2a – x) is equal toa)– f(x)b)f(x)c)f(a) + f (a – x)d)f(– x)Correct answer is option 'A'. Can you explain this answer?.
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