SOLUTION: Find the domain of the expressions: 1. 1/x-2 I know if x=2, then the equation wouldn't work. So is the domain anything but two? How would I write that? 2. square root

Algebra ->  Rational-functions -> SOLUTION: Find the domain of the expressions: 1. 1/x-2 I know if x=2, then the equation wouldn't work. So is the domain anything but two? How would I write that? 2. square root       Log On


   



Question 639970: Find the domain of the expressions:
1. 1/x-2

I know if x=2, then the equation wouldn't work. So is the domain anything but two? How would I write that?
2. square root of x+1
no idea...?

Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I guess, you have this: 1.+1%2F%28x-2%29
denominator x-2 cannot be equal to zero; so, you right if x=2, then the equation wouldn't work and the domain is anything but two
or
[-infinity,2) U (2,infinity]

2. sqrt%28x%2B1%29

here also, x%2B1 cannot be equal to zero; so, if x%2B1=0, then x%3E=-1
the domain is:

[-1,infinity]


Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If then

Read: "The domain of the function is the set of all numbers contained in the set of Real numbers such that is not equal to "

2. The square root function is defined over the Reals only when the radicand (the part under the square root sign) is greater than or equal to zero. Which is to say no negative numbers. So:

If is a real-valued function and then

On the other hand,

If is a complex-valued function and then



John

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