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krok68 [10]
3 years ago
8

Write a rational function with no vertical asymptotes and no holes. Please explain.

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

ANSWER

f(x) =  \frac{ {x}^{2} }{ {x}^{2} + 1 }

EXPLANATION

We write the function such that both the numerator and the denominator are prime.

An example of a rational function with no vertical asymptotes and no holes is

f(x) =  \frac{ {x}^{2} }{ {x}^{2} + 1 }

For the above rational function, the denominator is never zero, so there are no vertical asymptotes.

Also the highest common factor for the numerator and the denominator is 1 so there are no holes.

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Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$
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Given that:

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Given that;

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The range is:

\frac{y-1}{3}\ge0

y-1\ge0

y\ge1

The interval notation is;

[1,+\infty)

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