Calculus help plz

Question

A function f is said to have a removable discontinuity at a if:

1. F is either not defined or not continuous at a.

2. F(a) could either be defined or redefined so that the new function is continuous at a.

let f(x) = (2xsquared+5x-7)/(x-1)

Show that f has a removable discontinuity at 2 and determine the value for f(1) that would make f continuous at 1

Need to redefine f(1) _____

Answer 1

f(x) = (2x² + 5x - 7) / (x - 1) The discontinuity is at x = 1!

f(x) = (2x + 7)(x - 1) / (x - 1)

For x ≠ 1

f(x) = 2x + 7

f(1) = 2 + 7