What are the excluded values for y=(2x+5)/(x+5)?

1 Answer
Mar 31, 2018

The only excluded value is x=-5.

Explanation:

Excluded values occur when the denominator of a fraction equals zero.

In simpler terms, excluded fractions are when x makes it so that the bottom of the fraction is 0.

This is because division by zero is not possible, so the value of x is excluded.

To solve for the excluded variable, simply take the denominator, set it equal to 0, then solve for x. That will tell you what value of x will make the denominator 0.

Here's what that looks like:

x+5=0

x+5color(blue)-color(blue)5=0color(blue)-color(blue)5

xcolor(red)cancelcolor(black)(color(black)+5color(blue)-color(blue)5)=0color(blue)-color(blue)5

x=0color(blue)-color(blue)5

x=-5

This is the excluded value for x. Hope this helped!