Domain's of the following equations in interval notation.
1. x / (x^2 - 3x)
2. sqrt(x+7) / x^2
3. x^2sqrt(x+7) / x+7
1. x / (x^2 - 3x)
2. sqrt(x+7) / x^2
3. x^2sqrt(x+7) / x+7
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1. Look at the bottom. You can't have the denominator equaling to 0. Thus x^2-3x can not equal 0. Factor out an x, it becomes x(x-3). Thus the domain is (-inf, 0) U (0,3) U (3,inf)
2. You can't squareroot a negative number. Thus x> -7 [-7, 0) U (0, inf)
3. (-7, inf)
2. You can't squareroot a negative number. Thus x> -7 [-7, 0) U (0, inf)
3. (-7, inf)