1 year ago

hi I need help with this question because my math teacher explains it very hardly for me to understand

Mathematics

1 answer:

xz_007 [3.2K]1 year ago

4 0

The reflection image is as follows,

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State the domain of 1b, then determine the equation of any vertical asymptotes and/or coordinates of any holes in the graph of t

Katena32 [7]

We have

$f(x)=\frac{2x^2+x}{x^2-5x+6}$

First we will factorize the function

$f(x)=\frac{x(2x+1)}{\mleft(x-2\mright)(x-3)}$

The domain is

$\: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: 3\mright)\cup\mleft(3,\: \infty\: \mright)$

In this case, we have two vertical asymptotes

x-2=0

x=2

x-3=0

x=3

ANSWER

The domain is

$\: \mleft(-\infty\: ,\: 2\mright)\cup\mleft(2,\: 3\mright)\cup\mleft(3,\: \infty\: \mright)$

The vertical asymtotes

x-2=0

x=2

x-3=0

x=3

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Step-by-step explanation:

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