anonymous
  • anonymous
Help with interval notation: My prof. Never explained interval notation, so I don't know how to write the answers to these... a) Determine the domain of the function f(x)= {1}{\sqrt{3 x+12}} Domain (in interval notation): Note: Write the answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter -\infty as - infinity and \infty as infinity . b) Determine the domain of the function f(x) = {-4}/{x^{2}+8x} . I know a) is all real numbers except -4, and b) should be non-zero real numbers.
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.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Astrophysics
  • Astrophysics
It has been a while since I've used this notation X_X, ok so your first function is \[f(x) = \frac{ 1 }{ \sqrt{3x+12} }\] so we have to solve what's under the square root for the domain \[3x+12>0 \implies x >- 4\] it's greater than 0 because it's under the square root and we cannot have negative in square roots. So our interval will be \[D:(-4, \infty)\] we used open brackets for -4 because we do not include it in our domain, - infinity, and infinity always have open brackets. If they were closed, it means included.
anonymous
  • anonymous
Thank you!
anonymous
  • anonymous
Can you explain the second one too? I know it has multiple intervals but I'm lost other than that.

Looking for something else?

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

More answers

Astrophysics
  • Astrophysics
\[f(x) = - \frac{ 4 }{ x^2+8x }\] is this the function?

Looking for something else?

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