Math  /  Calculus

QuestionFind f(3)f(3) given that f(x)=x8x4f^{\prime}(x) = \frac{x-8}{x-4} for x4x \neq 4.

Studdy Solution
Without additional information, we can't find the exact value of f(3)f(3). The best we can do is to express it in terms of the unknown constant CC.
f(3)=34ln34+C=3+4ln+C=3+Cf(3) =3 -4 \ln |3-4| + C =3 +4 \ln + C =3 + CSo, the value of f(3)f(3) is 3+C3 + C.

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