Sue took out a car loan for $30,000 and has been making monthly payments toward the interest and principal. the following graph depicts her loan balance:

exponential graph starting at point 0, 30,000 and approaching the x axis as it moves left to right.

identify the domain of the function.

all real numbers
x ≥ 0
0 ≤ x ≤ 30,000
7 ≤ x ≤ 30,000

x ≥ 0

Step-by-step explanation:

It follows the general shape of exponential function.

It starts at y-intercept of 30,000 and moves towards x-axis as it moves to the right, decreasing [since loan balance is decreasing with time].

The graph DOESN'T go to left of x axis and goes towards infinity as it goes right.

The domain is the set of x-values that the function is defined for.

So we see it starts from x = 0 and goes towards infinity

Thus we can say it is x greater than or equal to 0.

WHich is x ≥ 0

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.