Question

For what value(s) of x are the following Undefined
5x^2+x+1/x^2+4

Answer 1

In Real numbers: none (defined for all real numbers)

In Complex numbers: not defined for
`x = 2i, -2i`

Explanation:

Fraction becomes undefined when the denominator = 0

`x^2 + 4 = 0`

Has no real solutions

The fraction is defined for all real values of x

`x^2 + 4 = 0`

`x^2 = -4`

`x = 2i, -2i`

The fraction is not defined for
`x = (+)/(-2i)` (in Complex Numbers)

Answer 2

Undefined at x = 2 and x = -2

Explanation:

(5x²+x+11)/(x²-4)

Function becomes undefined when the denominator goes to zero.

x² - 4 = 0

x = 2, -2