Consider the function g(x)= x^ 2 +kx-8 x-2

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the function

g(x)=\frac{x^{2}+kx-8}{x-2},

which is undefined at

x=2

when written in this form. Find the value of

k

that allows

g

to be redefined at

x=2

so that it becomes continuous there.