The answer to this problem is all real numbers except for 4. When looking at this function, one can see that most numbers are possible. But, the only number that won't be possible is four. That's because the fraction [tex] \frac{1}{x-2} [/tex] will always equal something greater than or less than zero. Since it's never going to equal zero, and since there is already a 4, that means that the range of this function is all real numbers except for 4.