Question 1054336: For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25). Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52814) (Show Source):
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For all real values of x, f(x^2) + f(30-x)=6x-4. Determine the value of f(25).
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Apply the given equality =
to x = 5. You will get then
f(25) + f(30-5) = 6*5-4, or
f(25) + f(25) = 26, or
2*f(25) = 26, which gives f(25) = = 13.
Answer. f(25) = 13.
