# If f(x) = 12, if x is an integer = - 7, if x is a real number which is not an integerFind whether f is continuous at x = 9

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= -7 when x is not an integer.

f(9) = 12 9 is an integer

f(9-) = -7 9- is something which is slightly less than 9 so it is not an integer

f(9+) = -7 as 9+ is something which is slightly more than 9, so it is not an integer

So f(9-) ≠ f(9) ≠ f(9+), f(x) is not continuous at x=9.