how would you find the domain for this question
f (x) = sqrt x + 3 / 2 - x

2. Originally Posted by diehardmath4
how would you find the domain for this question
f (x) = sqrt x + 3 / 2 - x
Hi

Your question is not clear enough
The use of parentheses is mandatory

Do you mean

$f(x) = \sqrt{\frac{x+3}{2-x}}$ ?

3. yes I don't know how to type the square root

4. Just quote my message and you will be able to use tex formula !
$f(x) = \sqrt{\frac{x+3}{2-x}}$

f is defined when $\frac{x+3}{2-x} \geq 0$

which means when $x+3 \geq 0$ and $2-x > 0$

or $x+3 \leq 0$ and $2-x < 0$

5. so the answer would be or 2x $5?

6. No

$x+3 \geq 0$ and $2-x > 0$ leads to $-3 \leq x < 2$

$x+3 \leq 0$ and $2-x < 0$ is empty