How do you find the domain of y=(2x)/(-x-5)?

1 Answer
Jim G.
Mar 9, 2017

{x: x inRR,x!=-5}

Explanation:

The domain of a function is all real values that x can have without causing the function to be undefined.

Here y will be undefined if the denominator equals zero.

rArr-x-5=0rArr-x=5rArrx=-5

Hence the domain is ALL real values of x except x ≠ -5

Which may be expressed in color(blue)"set builder notation" as

{x:x inRR,x!=-5}

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