Plug in the hole with value k to make piecewise function continous

The video tutorial emphasizes the importance of simplifying rational expressions and finding continuity in functions. It discusses how to factor expressions, handle zero in the denominator, and identify holes in functions. The tutorial concludes by highlighting the value of simplification in solving mathematical problems.

Why can't you plug in the value of one into the equation initially?

What is the simplified version of the function after factoring?