# Thread: domain and range of function

1. ## domain and range of function

Hello, i need help with this question: domain and range of:

f(x) = square root of 8-3x sqaured.

Your help would be highly appreciated.

2. Originally Posted by unit_01
Hello, i need help with this question: domain and range of:

f(x) = square root of 8-3x sqaured.

Your help would be highly appreciated.
$\displaystyle f(x) = \sqrt{8 - 3x^2}$

For the domain, where is 8 - 3x^2 negative?

For the range, what is the smallest value the square root function can have? What is the largest? (In the given domain.)

-Dan

3. hello

For the domain, where is 8 - 3x^2 negative?

For the range, what is the smallest value the square root function can have? What is the largest? (In the given domain.)

what do u mean by that? like when can 8-3x^2 be negative?

4. Originally Posted by unit_01
hello

For the domain, where is 8 - 3x^2 negative?

For the range, what is the smallest value the square root function can have? What is the largest? (In the given domain.)

what do u mean by that? like when can 8-3x^2 be negative?
An number under the square root sign cannot be negative. So if 8 - 3x^2 is negative, then it can't be in the domain.

-Dan