## sara1234 Group Title Determine the domain of the function. f(x) is equal to the square root of two minus x. x ≤ 2 All real numbers x > 2 All real numbers except 2 one year ago one year ago

1. sara1234 Group Title

$f(x)=\sqrt{2-x}$

2. jim_thompson5910 Group Title

Hint: You cannot take the square root of a negative number (and get some real number)

3. jim_thompson5910 Group Title

So the radicand (the stuff inside the square root) can't be negative

4. sara1234 Group Title

can you please teach me how to do this step by step PLEASE

5. jim_thompson5910 Group Title

Similar example: Find the domain of $\Large g(x) = \sqrt{x+3}$ You can't take the square root of a negative number, so the radicand must be either 0 or positive. So... $\Large x+3 \ge 0$ $\Large x+3-3 \ge 0-3$ $\Large x \ge -3$ is the domain

6. sara1234 Group Title

but its positive ??

7. jim_thompson5910 Group Title

I'm not sure what you mean

8. sara1234 Group Title

you said you can't take the square root of a negative number

9. jim_thompson5910 Group Title

yes exactly, so whatever number that is in the square root is either a) zero or b) positive

10. nickhouraney Group Title

if your finding the domain of a square root your rules are that the number cant be negative. if you were taking the domain of a fraction the rules would be you cant have a zero on the denominator

11. sara1234 Group Title

is the answer x ≤ 2

12. ganeshie8 Group Title

correct! good work !!

13. sara1234 Group Title

i missed you @ganeshie8