There were 2000 applicants for enrollment to the freshman class at a small college in the year 20 10. 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 20 10. 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 analyzes the meaning of the function g in the con of this problem.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 20 10. 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.
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