Use the function below to answer the following questions fx

Use the function below to answer the following questions: f(x) = x^3 + 5 /x^2 - 256 Which of the following applies to f(x)? Select all that This function will have a domain issue with This function will have a domain issue with even None of the above applies to this function. Find the domain of f. Enter your answer using interval not.

Solution

f(x) = (x^3 + 5)/( x^2 -256)

To find the domain we need to find points on which denomintor becomes zero and f(x)

does not exist.

x^2 -256 =0 ----> x= + / - 16

Domain: All real values except x= -16 and x=16

( - infinity, -16) U ( -16, 16) U ( 16, infinity)