Let f(x)=∫↙0^1(x t)^2 {d} t, \;\; \; ext " and "\; \;\; g(x)=∫↙0^x t^2 {d} t . Let A0. Which of the following statements is true?

Question

Let f(x)=∫↙0^1(x t)^2  {d} t,  \;\;  \;	ext " and "\;  \;\;  g(x)=∫↙0^x t^2  {d} t .    Let A>0. Which of the following statements is true?

Examsnet · Accepted Answer

Correct Answer is :  f(g(A)) is always bigger than g(f(A)).

Oxford University MAT 2015 Solved Papers