Question

Construct a rational function that has a vertical asymptote at x=3 and a removable discontinuity at x=-2

Answer 1

a function with a vertical asymptote at x=h will look something like \[f(x)= \frac{g(x)}{x-h}\]

Answer 2

a function with a removable discontinuity at x=d will look something like
\[f(x)= \frac{(x-d)g(x)}{(x-d)}\]

Answer 3

So x would be replaced with -2?