Use the definition of "f(x) is O(g(x))" to show that x4 + 9x3 + 4x + 7 is O(x4).

Step 1:

In this problem, we have to use the definition of "f(x) is O(g(x))" to show that x4 + 9x3 + 4x + 7 is O(x4).

Step 2:

Definition of Big -O Notation

For a growing function we defined a function which is known as big-O-notation.

Let f and g be a function with f:A and g:A

We can say that f(x) is O(g(x)) if there are constant C and k such that |f(x)||g(x)| whenever x>k