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 its asking for the inverse of C(x)
The problem is when I go to fing C-1(x) I come up with
C-1(x) = ( xy - 100)/5
I arrived at this by using the method i was taught replacing C(x) with y and replacing the x's in the original C(x) function with y's to get:
x = (100 + 5y)/y then I am supposed to rearrange for y. this is apparently where i run into problems.
can anyone point out where Im screwing up.
Thank you
Originally posted by joe shmoi think I found my error
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
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 shmoi see there is a domain restriction in C-1(x)Domain: x > 5
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
because there would be no people chartering the bus i suppose otherwise......could this be it?
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 ...[text shortened]... parently where i run into problems.
can anyone point out where Im screwing up.
Thank you
Originally posted by joe shmoy = (100+5x)/x
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 ...[text shortened]... parently where i run into problems.
can anyone point out where Im screwing up.
Thank you
xy = 100+5x
xy - 5x = 100
x(y-5) = 100
x = 100/(y-5)