Explain why the following functions are continuous on the given open intervals:

(a) f(x) = 3x^2 + 7 over
x − 4.
on (4,∞).

2 answers

f(x) is continuous everywhere except at x=4, and the domain does not include x=4

and try just typing fractions normally, ok?
f(x) = (3x^2+7)/(x-4)
The function is discontinuous at x=4, but the given domain interval doesn't include x=4, so the function is continuous given the interval.
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