Asked by Dave
The above function is given:
f(x)= sqrt of (2x-6)/(x-8)
- Sarah describes the domain as [3, ∞).
- Describe why her domain is incorrect.
- Provide the correct domain for the function.
(I sort of understand this).
f(x)= sqrt of (2x-6)/(x-8)
- Sarah describes the domain as [3, ∞).
- Describe why her domain is incorrect.
- Provide the correct domain for the function.
(I sort of understand this).
Answers
Answered by
Steve
Sarah is correct in concluding that the domain of √(2x-3) is [3, ∞). But
x-8 = 0 when x=8
division by zero is not defined
8 is not in the domain, so [3, ∞) cannot be the domain, since it includes 8.
So, what is the domain?
x-8 = 0 when x=8
division by zero is not defined
8 is not in the domain, so [3, ∞) cannot be the domain, since it includes 8.
So, what is the domain?
Answered by
Dave
I think the domain would be (-∞, 7].
I am not sure if it is correct. I got the above part correct though.
I am not sure if it is correct. I got the above part correct though.
Answered by
Steve
No, the domain is
[3,8)U(8,∞)
[3,8)U(8,∞)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.