# observe that the function is continuous (homework help)

• October 11th 2013, 01:18 PM
wolfwood
observe that the function is continuous (homework help)
Observe that the function is continuous at each member of its domain.
State the domain as an interval or union of disjoint intervals.

f(x) = x^2 + sqrt(2x -1)

I'm not clear on what I'm suppose to do with this, I know x has to be [1 , inf) because of the sqrt, but I don't think that's the answer its looking for.
• October 11th 2013, 01:58 PM
Plato
Re: observe that the function is continuous (homework help)
Quote:

Originally Posted by wolfwood
Observe that the function is continuous at each member of its domain.
State the domain as an interval or union of disjoint intervals.

f(x) = x^2 + sqrt(2x -1)

I'm not clear on what I'm suppose to do with this, I know x has to be [1 , inf) because of the sqrt, but I don't think that's the answer its looking for.

The domain is $\left[ {\tfrac{1}{2},\infty } \right)$.