determine the domain. express in interval notation.

Question

y = rt(x^2-7x+10)

i know this much-
y = rt[(x-5)(x-2)]

now what do i do?

If you mean by rt the square root of, then the domain is all positive values of (x^2 -7x + 10). So the answer to your question is when is that expression negative. You have nicely factored it into the product of two factors, ab. ab can be negative if a or b is negative, but not both. What values is this? For a starter, check when x=3.

hi