A function f(x) is said to have a removable discontinuity at x=a if:
1. f is either not defined or not continuous at x=a.
2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.
Let f(x)=(2x^2+5x−75)/(x−5)
Show that f(x) has a removable discontinuity at x=5 and determine what value for f(5) would make f(x) continuous at x=5.
Must define f(5)

Question

A function f(x) is said to have a removable discontinuity at x=a if: 
1. f is either not defined or not continuous at x=a. 
2. f(a) could either be defined or redefined so that the new function IS continuous at x=a.
Let f(x)=(2x^2+5x−75)/(x−5) 
Show that f(x) has a removable discontinuity at x=5 and determine what value for f(5) would make f(x) continuous at x=5. 
Must define f(5)