Answer:
Step-by-step explanation:
The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y
Original Equation:
write f(x) as y (since that's what it represents)
Swap x and y
Square both sides
Add 1 to both sides
So this gives you the equation:
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has <u>multiple definitions</u>, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at brainly.com/question/13205719
Answer:
The radius is growing at a rate of ft per minute.
Step-by-step explanation:
From the information given we know that
And we know as well that .
Since everything is changing with the time we can compute the implicit derivative and we would get that
We are told that we are looking for how fast is the radius growing at the instant when the radius has reached 1 ft, therefore
And when we solve for