Let f and g be two differentiable functions such that f(x) is odd and – InterviewSolution

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1.	Let f and g be two differentiable functions such that f(x) is odd and g(x) is even. If f(5)=7, f(0)=0, g(x)=f(x+5) and f(x)=x∫0g(t)dt ∀ x∈R, then which of the following is/are CORRECT?
Answer» Let $f$ and $g$ be two differentiable functions such that $f (x)$ is odd and $g (x)$ is even. If $f (5) = 7,$ $f (0) = 0,$ $g (x) = f (x + 5)$ and $f (x) = x \int 0 g (t) d t \forall x \in R,$ then which of the following is/are CORRECT?

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