Well, I now need help with math as well..

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

No, I need to know what exclusions are placed on the variable x.

A.) -1/2
B.) 0
C.) -1
D.) None

well that wasn't the answer anyways so Thanks :)

it was actually -1/2, and that's what I put.

To find the exclusions placed on the variable x in the fraction (4x^2-1)/(4x+2), we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics.

In this case, we have a fraction where the denominator is 4x + 2. To identify any exclusions, we need to set the denominator equal to zero and solve for x.

4x + 2 = 0

To solve for x, we can subtract 2 from both sides:

4x = -2

Finally, divide both sides by 4:

x = -2/4

Simplifying further, we have:

x = -1/2

So, -1/2 is the value that would make the denominator 4x + 2 equal to zero in the fraction. Hence, x = -1/2 is excluded from the domain of the given fraction.

4x^2-1/4x+2

I am sure you meant:
(4x^2-1)/(4x+2)

= (2x+1)(2x-1)/(2(2x+1))
= (2x-1)/2 , oops I just divided by zero if x is equal to what value???

did not the "oops" give you a hint? Ever tried to divide by zero?