Question

How do you find the domain and range of `F (X) = sqrt(x-3)`?

Answer 1

Domain is : `<3;+oo)`
Range: `<0;+oo)`

Explanation:

To find the domain you have to chech for which number all the operations in function formula are defined. In this case the limit is that: `x-3>=0` because you cannot calculate the square root of a negative number (it exists but is not a real number).

To calculate the range you have to think if there are values that the function does not take. In this case there is a square root which means, that the values willl never be negative, but all positive values are possible.