Question

Complete the sentences to describe the function f(x) = 2x^2+16x/16x^3-x the function is discontinus at

Answer 1

Answer: the function is discontinuous at x=0

To create the extended function add f(x)=0,x=0

Explanation:

Answer 2

The answer is "
`\bold{(2(x+8))/((4x^2- 1)(4x^2+ 1))}`".

Explanation:

`\to f(x) = (2x^2+16x)/(16x^3-x)`

`= (2x(x+8))/(x(16x^2-1))\\\\= (2(x+8))/((16x^2-1))\\\\= (2(x+8))/(((4x)^2-(1)^2))\\\\= (2(x+8))/((4x^2- 1)(4x^2+ 1))\\\\`