Asked by Ryback
I need help with finding out the domain of f(x)= sqrt(x(x-2)). I keep getting the wrong answer. Please help me out and explain.
Answers
Answered by
Steve
You know that you cannot take the square root of a negative number. That means that you must have
x(x-2) >= 0
So, either both factors are negative, or both are positive. Thus, the domain is (-∞0]U[2,∞)
You can visualize this by graphing the parabola. It opens upward, so it is negative between the roots (0,2) and positive outside that interval.
x(x-2) >= 0
So, either both factors are negative, or both are positive. Thus, the domain is (-∞0]U[2,∞)
You can visualize this by graphing the parabola. It opens upward, so it is negative between the roots (0,2) and positive outside that interval.
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