Examine the following functions for continuity.

f (x) = x - 5

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f (x) = \frac{1}{x - 5}

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f (x) = \frac{x^{2} - 25}{x - 5}

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f (x) = | x - 5 |

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Solution

The correct options are
A $f (x) = x - 5$
B $f (x) = \frac{1}{x - 5}$
C $f (x) = \frac{x^{2} - 25}{x - 5}$
D $f (x) = | x - 5 |$

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Similar questions

Examine the following functions for continuity :

(a) f(x) = x - 5

(b) $f (x) = \frac{1}{x - 5}, x \neq 5$

(d) $f (x) = | x - 5 |$ .

Examine the following functions for continuity.

(a) (b)

f (x) =

\frac{x^{2} - 25}{x + 5}

x

\neq

5

Examine the following functions for continuity :

$f (\times) = \frac{\times^{2} - 25}{\times + 5}, x \times n o t = - 5$

f (x) = \begin{matrix} \frac{x^{4} - 8 x}{\sqrt{x^{2} + 5} - 3}, f o r x \neq 3 3 f o r x = 3 \end{matrix}

f (x) = 3

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