## anonymous 3 years ago given f(x) = √((x-1)(x-3)) what is the domain of f ?

1. anonymous

x-intercept: (1,0),(3,0) y-intercept (0,√3)

2. anonymous

$\sqrt{(x - 1)(x - 3)}$ determine when this function is negative. the function is negative whenever (x -1)(x - 3) is negative this occurs whenever (x - 1) and (x - 3) have opposite signs

3. anonymous

|dw:1359001525455:dw|

4. anonymous

so the only restriction on the domain is the interval (1, 3) where the two factors have opposite signs.

5. anonymous

thank you!