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If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to?
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If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equa...
Given Equation:
2f(x) - 3f(1/x) = x^2, x ≠ 0
Finding f(2):
To find f(2), we need to substitute x = 2 into the given equation.
Substitute x = 2:
2f(2) - 3f(1/2) = 2^2
2f(2) - 3f(1/2) = 4
Express f(1/2) in terms of f(2):
Let's express f(1/2) in terms of f(2) by substituting x = 1/2 into the given equation.
2f(1/2) - 3f(2) = (1/2)^2
2f(1/2) - 3f(2) = 1/4
f(1/2) = (3f(2) + 1/4)/2
Substitute f(1/2) back into the equation:
2f(2) - 3((3f(2) + 1/4)/2) = 4
2f(2) - (9f(2) + 3/4) = 4
2f(2) - 9f(2) - 3/4 = 4
-7f(2) = 4 + 3/4
-7f(2) = 16/4 + 3/4
-7f(2) = 19/4
f(2) = -19/28
Therefore, f(2) = -19/28.
2f(x) - 3f(1/x) = x^2, x ≠ 0
Finding f(2):
To find f(2), we need to substitute x = 2 into the given equation.
Substitute x = 2:
2f(2) - 3f(1/2) = 2^2
2f(2) - 3f(1/2) = 4
Express f(1/2) in terms of f(2):
Let's express f(1/2) in terms of f(2) by substituting x = 1/2 into the given equation.
2f(1/2) - 3f(2) = (1/2)^2
2f(1/2) - 3f(2) = 1/4
f(1/2) = (3f(2) + 1/4)/2
Substitute f(1/2) back into the equation:
2f(2) - 3((3f(2) + 1/4)/2) = 4
2f(2) - (9f(2) + 3/4) = 4
2f(2) - 9f(2) - 3/4 = 4
-7f(2) = 4 + 3/4
-7f(2) = 16/4 + 3/4
-7f(2) = 19/4
f(2) = -19/28
Therefore, f(2) = -19/28.
Community Answer
If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equa...
Is it -7/4
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If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to?
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If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to?.
If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 f (X ) - 3 f (1 / x )= x square, x is not equal 0, then f(2 )equal to?.
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