Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.)
f(s,t)= sqrt(s^2+t^2)
s = ?
t = ?
To find the domain of the function f(s,t) = sqrt(s^2 + t^2), we need to determine the valid values for the variables s and t such that the function is defined.
In this case, the function involves taking the square root of the sum of the squares of the variables s and t. It is important to note that the square root of a number is only defined for non-negative real numbers or zero.
Therefore, to find the domain, we need to ensure that the expression inside the square root, s^2 + t^2, is greater than or equal to zero. This means that both s^2 and t^2 must be non-negative or zero.
Since both s^2 and t^2 are squared terms, they will always be non-negative or zero, regardless of the values of s and t. Therefore, there are no restrictions on the variables s and t.
Hence, the domain of the function f(s, t) = sqrt(s^2 + t^2) is all real numbers for both s and t.
In interval notation, we can represent the domain as (-INFINITY, INFINITY) for both s and t.