Consider the rational functions

 f(x)=x8(x8)(x1)andg(x)=1x1\displaystyle {f{{\left({x}\right)}}}=\frac{{{x}-{8}}}{{{\left({x}-{8}\right)}{\left({x}-{1}\right)}}}\qquad\text{and}\qquad{g{{\left({x}\right)}}}=\frac{{{1}}}{{{x}-{1}}} 

Evaluate these functions for the following values of x. Write DNE if the answer does not exist.

 f(3)=\displaystyle {f{{\left({3}\right)}}}=  

 g(3)=\displaystyle {g{{\left({3}\right)}}}=  

 f(8)=\displaystyle {f{{\left({8}\right)}}}=  

 g(8)=\displaystyle {g{{\left({8}\right)}}}=  

The functions f\displaystyle {f} and g\displaystyle {g} are exactly the same at every point except x=\displaystyle {x}=