Determine where the function is continuous

Question

x-2/9x²-16

Answer 1

I assume you meant to say

 

f(x) = (x - 2) / (9x² - 16)

 

Use parentheses, please!

 

f(x) = (x - 2) / [(3x - 4)(3x + 4)]

 

f(x) is continuous for all x except where the denominator is zero, which occurs at x = ±4/3.