The given function f is one-to-one. f(x)= (ax+b)/(cx+6) Find the domain of f?

Question

a. all real numbers except -(c/d)
b. all real numbers except -1
c. all real numbers except -(d/c)
d. all real numbers except (c/d)

Sorry guys it is suppose to be a d not 6.

Answer 1

i wonder where r those Ds in the answers come from?

if that 6 is meant to be a d then the answer would b c) all real numbers except -(d/c)

Answer 2

I assume that instead of the 6 you typed, you meant to type d?

The domain of a function is all the x values that you can put into the function without "causing problems." By "causing problems" I mean illegal things like dividing by zero, taking the square root of a negative number, etc. Things that would bring the Math Police down on ya. ;) Since most numbers don't cause problems, the domain can be written as "all real numbers except [this troublemaking number]".

To find the number(s) that would make trouble, first identify the situation that could cause trouble (in this case, there's a denominator, so you've got to make sure the denominator isn't 0.) Then see what would happen if the troublemaking condition were true (in this case what if cx+d = 0). If you solve for x, it will tell you what value of x will cause trouble, and you can kick it out of the real numbers to find the domain.

Answer 3

The domain is anything except whatever would make the denominator 0, so anything but -6/c.

Answer 4

the domain of f is all real numbers except what makes the denomenator zero therforethe answer is (c)

Answer 5

where did the 'd' come from?

Answer 6

uuhhhh....