Question

given the function ( f(x)=\frac{x^{2}+7 x - 18}{x - 2} ), select the correct answer for each blank to make the statement true. the function ( f(x) ) has a discontinuity at ( x = 2 ). this discontinuity is a

Explanation:

Step1: Factorizar el numerador

$$x^{2}+7x - 18=(x + 9)(x - 2)$$

Step2: Simplificar la función

$$f(x)=\frac{(x + 9)(x - 2)}{x - 2}=x + 9,\quad x eq2$$

Answer:

point of discontinuity (hole)