2 years ago

Help with inequality

Mathematics

1 answer:

Alona [7]2 years ago

6 0

Answer:

1. x>20 2. x≤1 3.x<4 4.x>9 5.x≥-13

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ANSWER

The vertical asymptotes are

$\Rightarrow x=2\:or\:x=-1$

<u>EXPLANATION</u>

We have

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

$4x^2-4x-8=0$

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We split the middle term to obtain,

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Therefore the vertical asymptotes are

$x=2\:or\:x=-1$

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