Question

What exclusions are placed on the variable x for the fraction 4x^2 +1/4x+2

Answer 1

4x^2 +1/4x+2
= (4x^2 +1) / [2(2x + 1)]

2x + 1 = 0, x = -1/2

so

x CAN NOT = - 1/2

Answer 2

Explanation:

The given fraction is as follows.

`(4x^(2)+1)/(4x+2)`

It is known that rational expressions are undefined when the denomination is equal to zero.

Therefore, putting the denominator equal to zero as follows.

4x + 2 = 0

4x = -2

Solve for x as follows.

x =
`(-2)/(4)`

therefore, x =
`(-1)/(2)`

Thus, exclusion placed on the variable x for the fraction
`(4x^(2)+1)/(4x+2)` is
`(-1)/(2)`.