Solve the problem.
-There were 2,300 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applicants has risen linearly by roughly 170 per year. The number of applications f(x) is given by f (x) = 2,300 + 170x, where x is the number of years since 2010.
a. Determine if the function $g ( x ) = \frac { x - 2,300 } { 170 }$ is the inverse of f.
b. Interpret the meaning of function g in the context of the problem.
A) a. Yes
b. The value g(x) represents the number of years since the year 2010 based on the number of Applicants to the freshman class, x.
B) a. No
b. The value g(x) represents the number of applicants to the freshman class based on the number Of years since 2010, x.
C) a. No
b. The value g(x) represents the number of years since the year 2010 based on the number of Applicants to the freshman class, x.
D) a. Yes
b. The value g(x) represents the number of applicants to the freshman class based on the number Of years since 2010, x.

Question

Solve the problem.
-There were 2,300 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applicants has risen linearly by roughly 170 per year. The number of applications f(x) is given by f (x) = 2,300 + 170x, where x is the number of years since 2010.
a. Determine if the function $g ( x ) = \frac { x - 2,300 } { 170 }$ is the inverse of f.
b. Interpret the meaning of function g in the context of the problem.
A) a. Yes 
b. The value g(x) represents the number of years since the year 2010 based on the number of Applicants to the freshman class, x.
B) a. No 
b. The value g(x) represents the number of applicants to the freshman class based on the number Of years since 2010, x.
C) a. No 
b. The value g(x) represents the number of years since the year 2010 based on the number of Applicants to the freshman class, x.
D) a. Yes 
b. The value g(x) represents the number of applicants to the freshman class based on the number Of years since 2010, x.

Quizplus · Accepted Answer

The function $g(x) = \frac{x - 2,300}{170}$ is indeed the inverse of $f(x) = 2,300 + 170x$, as it essentially reverses the operation of $f$. Applying $g$ to the output of $f$ will return the original input $x$, which represents the number of years since 2010 based on the number of applicants.

Solve the Problem g(x)=x−2,300170g ( x ) = \frac { x - 2,300 } { 170 }g(x)=170x−2,300​

Solve the Problem $g ( x ) = \frac { x - 2,300 } { 170 }$