Find the domain of the function enter your answer in interval notation
f(t)=3 under root t-9
To find the domain of the function, we need to determine the values of t for which the function is defined.
The function is defined as long as the expression under the square root is non-negative. So, we set the expression greater than or equal to zero and solve for t:
t - 9 ≥ 0
Adding 9 to both sides gives:
t ≥ 9
Thus, the domain of the function is [9, ∞) in interval notation.
To find the domain of the given function f(t) = √(t - 9), we need to determine the values of t for which the function is defined.
In this case, the function is defined as long as the expression inside the square root is non-negative, as the square root of a negative number is undefined in the real number system.
So, we set t - 9 ≥ 0 and solve for t:
t - 9 ≥ 0
t ≥ 9
Therefore, the domain of the function f(t) = √(t - 9) is t ≥ 9.
In interval notation, this can be written as [9, ∞).