Mathematics: 25/32 divided by (-5/6)

25/32 divided by (-5/6) - id2532567590995, jocelynfray16

3giez4

01.06.2023

Option C. is the correct option.

Step-by-step explanation:

The given function is $f(x)=\frac{x^{2}-7x+10}{x^{2}-14x+45}$

Now we will rewrite the given function in the factorial form

$f(x)=\frac{x^{2}-5x-2x+10}{x^{2}-9x-5x+45}$

$f(x)=\frac{(x-2)(x-5)}{(x-5)(x-9)}$

Now the given function is defined if the denominator is not equal to zero

Therefore for (x-5) = 0

x = 5

and x - 9 =0

x = 9

The function is not defined.

Therefore option C. continuous at every real number except x = 5 and x = 9 is the correct answer.

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