document.write( "Question 171753: Find the domain of the function as defined by F(x)= (x+2)/(x-2) \n" ); document.write( "

Algebra.Com's Answer #126883 by Earlsdon(6294) $\"\"$ $\"About$

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The domain of a function is the set of all possible values of the independent variable, which is x in this case.
\n" ); document.write( " $\"f%28x%29+=+%28x%2B2%29%2F%28x-2%29\"$ You'll notice that if x = 2, then the function is:
\n" ); document.write( " $\"f%282%29+=+4%2F0\"$ which, of course, is undefined (division by zero is not defined), so that, for this function, x = 2 is an excluded value.
\n" ); document.write( "Every other real value of x would be ok, so the domain of this function is:
\n" ); document.write( "(-infinity < or = x < 2) and (2 < x < or = +infinity)
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x%2B2%29%2F%28x-2%29%29\"$ \n" ); document.write( "

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