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# Examine the following functions for continuity. (a) f (x) = x – 5

3. Examine the following functions for continuity.
$(a) f (x) = x - 5$

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Given function is
$f(x) = x-5$
Our function is defined for every real number say k
and value at x = k ,  $f(k) = k-5$
and also,
$\lim_{x\rightarrow k} f(x) = k -5\\ \lim_{x\rightarrow k} f(x) = f(k)$
Hence, the function $f(x) = x-5$ is continuous  at every real number

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