Question

Find the restricted values of x for the following rational expression. If there are no restricted values of x, indicate "No Restrictions". −8x/8x2+2x Answer How to enter your answer

Answer 1

Given rational expression is

$-\frac{8x}{8x^2+2x}$

Now we need to find the restricted values if any for this rational expression.

Restricted values means the possible values of the used variable (x) that will make denominator 0 as division by 0 is not defined.

So to find the restricted values, we just set denominator equal to 0 and solve for x

$8x^2+2x=0$

$2x(4x+1)=0$

2x=0 or 4x+1=0

x=0 or 4x=-1

x=0 or x=-1/4

Hence final answer is x=0, -1/4