anonymous
  • anonymous
what is the domain of this function 2x+4/x-2
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
If your function is\[f(x)=\frac{2x+4}{x-2}\]your domain is the set of all x for which your function is 'well defined'. Your function won't be defined for any x such that the numerator becomes zero; that is, for x where\[x-2=0\]which means the function falls apart at\[x=2\]At this point, you'd have\[f(2)=\frac{2(2)+4}{2-2}=\frac{8}{0}\]and you cannot divide by zero (I can explain why if you need it). There are no other restrictions on x, so your domain is the entire set of real numbers, except x=2.

Looking for something else?

Not the answer you are looking for? Search for more explanations.