Originally posted by joe shmo I have a question this is what I have come up with, here is the problem

an organization determines that the cost per person of chartering a bus is given by the formula

C(x) = (100 + 5x)/x

where x is the number of people in the group and C(x) is a dollar amount

Its asking me to find C-1(x) and explain what it represents, to clear up my notation i parently where i run into problems.

can anyone point out where Im screwing up.

Thank you

i think I found my error

if I break C(x) = (100 + 5x)/x into C(x)= 100/x + 5x/x

I get C-1(x) = 100/x-5

and composing the functions I get C(C-1(x)) = x which is proof that they are inverse. However, Im still having trouble figuring out what C-1(x) means as far as the charterbus situation

Originally posted by joe shmo i think I found my error

if I break C(x) = (100 + 5x)/x into C(x)= 100/x + 5x/x

I get C-1(x) = 100/x-5

and composing the functions I get C(C-1(x)) = x which is proof that they are inverse. However, Im still having trouble figuring out what C-1(x) means as far as the charterbus situation

i see there is a domain restriction in C-1(x)Domain: x > 5
because there would be no people chartering the bus i suppose otherwise......could this be it?