Find the derivative of the function using the definition of derivative. g(t) = 9 t g'(t) = state the domain of the function. (enter your answer using interval notation.) state the domain of its derivative. (enter your answer using interval notation.)

domain  [ g(t) ] = (-∞,∞)

g'(t)=9

domain [ g'(t) ] =(-∞,∞)

Step-by-step explanation:

We start by finding the domain of the function g(t)

The domain of a function is the set of all inputs over which the function has defined outputs.

In g(t) = 9t ; g(t) is define for all real numbers

domain  [ g(t) ] = (-∞,∞)

For the derivative of the function we use the definition of derivative :

Given f(x)→

In our exercise :

domain [ g'(t) ] =(-∞,∞)