Bethany and Scott are taking a cab from their house in New J

Bethany and Scott are taking a cab from their house in New Jersey to Philadelphia. As they ride in the cab they notice that the cab company charged $3.25 for pick-up and then as they travel the cost of the fare increases at a constant rate of $2.25 per mile. Define a function f that determines the cost of the ride. c. in terms of the varying number of miles Bethany and Scott ride in the cab. n. f(n) = Define a function g that determines the number of miles Scott and Bethany have traveled in the cab. n. in terms of the cost of the ride. c. g(c) = Which of the following statements are true? Select all that apply. For any value b in the domain of g, g(b) = f(b) The function g is the inverse of f If g(r) = s then f(s) = r The function f is the inverse of g None of the above

Solution

given company charged 3.25$ for pickup , and travel cost of 2.25$ per mile

a)number of miles =n

cost of ride f(n)=c =3.25+(2.25n)

b)c =3.25+(2.25n)

2.25n =c-3.25

n=(c-3.25)_/2.25

number of mils travelled ,g(c)=(c-3.25)_/2.25

c)the function g is inverse of f

if g(r)=s then f(s) =r

the function f is the inverse of g