How do I find the domain of (x-1) / (x-2). What does domain and range mean. I am so confused?

Answer 1

The domain is the list of all possible numbers you can plug in for "x".

Sometimes the list is infinite, so you have to describe it in words rather than list every possible "x".

Hint: For your equation, "x" can be _almost_ anything, but there is one number that you cannot use for "x". What is it? Figure that out--then the domain is: "everything except ___ ". (You fill in the blank.)

The range is the list of all possible answers you can get from the formula (x-1)/(x-2), after you plug in all the possible "x" values.

Again, that list is sometimes infinitely long, so in that case you have to describe the list in words, such as, "The range is all numbers between ____ and ____ ."

You can get an idea of the range by trying very large and very small numbers for "x", and plugging them into the formula. Try answering these questions:
* What is the answer if x is zero? If x is 1? If x is very close to 2?
* Are there any values of x that will make the answer negative?

Another good way to figure out the range is to try graphing the function. Then you can often see from the graph what the minimum and maximum values in the range will be.

Answer 2

The domain is the set of x values where an answer exists.

The range is the set of possible answers.

In this case (assuming you're working in something like the integers or Real numbers, etc.) an answer exists wherever the denominator of the fraction is not equal to zero. That is x-2 can't be equal to zero.

Domain = {x: x not equal to 2}

The domain is the set of all x such that x is not equal to two.

Answer 3

This Site Might Help You.

RE:
How do I find the domain of (x-1) / (x-2). What does domain and range mean. I am so confused?

Answer 4

domain is the set of numbers that are permissible to be substituted for x
On the other hand range means the values in which the function is limited

for f(x)=(x-1)/(x-2). x can be all real numbers except 2 because
it would make the denominator zero and division by zero is
not defined.

Answer 5

domain:x-2=0 , x=2 so x:member of real number exept 2
range:for -extreme1 , 01
12 , -extreme0
2extreme , 1extreme