Let g(x)=x∫0f(t)dt, where f is such that 12≤f(x)≤1 for t∈[0,1] – InterviewSolution

1.	Let g(x)=x∫0f(t)dt, where f is such that 12≤f(x)≤1 for t∈[0,1] and 0≤f(t)≤12 for t∈[1,2] Then, g(2) satisfies the inequality
Answer» Let $g (x) = x \int 0 f (t) d t$ , where $f$ is such that $\frac{1}{2} \leq f (x) \leq 1$ for $t \in [0, 1]$ and $0 \leq f (t) \leq \frac{1}{2}$ for $t \in [1, 2]$ Then, $g (2)$ satisfies the inequality

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