There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications f ( x ) is given by f ( x ) = 2000 + 150 x , where x is the number of years since 2010. a. Determine if the function g ( x ) = x − 2000 150 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications f ( x ) is given by f ( x ) = 2000 + 150 x , where x is the number of years since 2010. a. Determine if the function g ( x ) = x − 2000 150 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
Solution Summary: The author explains that the function g(x)=x-2000150 is the inverse of the one-to-one function.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications
f
(
x
)
is given by
f
(
x
)
=
2000
+
150
x
,
where
x
is the number of years since 2010.
a. Determine if the function
g
(
x
)
=
x
−
2000
150
is the inverse of f.
b. Interpret the meaning of function g in the context of this problem.
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
7
y
6
5
4
3
2
-6-5-4-3-2-1
1+
-2
1 2 3 4 5 6
x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
O The slopes are the same, and the y-intercepts are the same.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY