Find intervals where f(x) = (x^2 - 4)/(x^2 - 6x + 8) is continuous.

[calculus1me]

Let

. . . . .\(\displaystyle f(x)\, =\, \dfrac{x^2\, -\, 4}{x^2\, -\, 6x\, +\, 8}\)

Use interval notation to indicate where f (x) is continuous.

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I can't figure out this problem. Please help me!!

 

[stapel]

Let

. . . . .\(\displaystyle f(x)\, =\, \dfrac{x^2\, -\, 4}{x^2\, -\, 6x\, +\, 8}\)

Use interval notation to indicate where f (x) is continuous.

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I can't figure out this problem.

Use what you learned back in algebra. Where might a rational function not be continous? Where might it be broken up into two or more pieces? (here)

If you get stuck (after reviewing at the link), please reply showing your efforts so far, starting with what you set equal to zero. Thank you!