SOLUTION: what values for x must be excluded in the following fraction 7 over x-9 a. 0 b. -9 c. 9 d. none

Question 103942: what values for x must be excluded in the following fraction
7 over
x-9
a. 0
b. -9
c. 9
d. none
Found 2 solutions by doukungfoo, jim_thompson5910:
Answer by doukungfoo(195) (Show Source): You can put this solution on YOUR website!
The answer is c. 9
the reason is if x is 9 the you have this:

And zero cannot be the denominator of a fraction, because you can't divide a number by zero.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given function

Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain.

Add 9 to both sides

Combine like terms on the right side

--------------------------------------------------------------
Answer:
So our answer is

Since makes the denominator equal to zero, this means we must exclude from our domain

So our domain is:

which in plain English reads: x is the set of all real numbers except

So the answer is C
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