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.
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
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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