Which function does not have a vertical asymptote? a) y=(x) /(1-x²) . b) y=(5x) /(1-2x²) . c) y=(5x-1) /(3+x^2) . d) (5x) /(x+x²) .

A function has a vertical asymptote at point a, where the denominator becomes equal to 0.

A. The denominator of the function turns into 0 at or Then and are two vertical asymptotes of this function.

B. The denominator of the function turns into 0 at or  Then  and  are two vertical asymptotes of this function.

C. The denominator of the function never turns into 0, then this function hasn't any asymptotes.

D. The denominator of the function turns into 0 at Then is vertical asymptote of this function.

correct choice is C.

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step-by-step explanation:

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80