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
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19 Nov '07 03:501 edit
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
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19 Nov '07 04:04
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?
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19 Nov '07 04:08
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.
Algebra involving functions
19 Nov '07 03:171 edit
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