Use the definition of "f(x) is O(g(x))" to show that 2x + 17 is O(3x).
Solution:Step 1:The objective is to show that 2x + 17 is O(3x).Step 2:To indicate 2x + 17 is O(3x) by then we ought to show that the going with imbalance is substantial, To do, all things considered, we ought to find a C and a k that make the uniqueness certifiable. 2x + 17 C.(3x) for x > k In this way, we can mention a couple objective facts. It is anything but difficult to see that the right-hand side will become speedier than the left-hand side after some time. Be that as it may, when is x is a modest number, the 17 on the left side will rule. So we realize that we can leave C as 1 in light of the fact that 3x will become speedier than 2x +17 all alone. Be that as it may, we need to skirt a portion of the littler estimations of x by setting k. The littlest estimation of x where 2x + 17 3x is genuine is 3. So we ought to set k to 2 best get the accompanying condition.2x + 17 1.(3x) for x > k