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) ] =(-∞,∞)

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

read more on -

step-by-step explanation:

y=x+9

?

step-by-step explanation: