Find the domain of the function
Using interval notation
f(t)=under root t+5
The domain of the function f(t) = √(t+5) is all real numbers greater than or equal to -5, since the expression √(t+5) is defined for any real number greater than or equal to -5.
In interval notation, the domain of the function f(t) is written as [-5, ∞).
To find the domain of the function f(t) = sqrt(t+5), we need to determine the values of t for which the function is defined.
For the square root function to be defined, the value inside the square root (t+5) must be greater than or equal to 0.
So, we set t+5 ≥ 0 and solve for t:
t + 5 ≥ 0
t ≥ -5
This tells us that t must be greater than or equal to -5.
Therefore, the domain of the function f(t) is the interval [-5, +∞).