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Valentin [98]
3 years ago
9

How do i determine the domain and the equation of the vertical asymptote of the equation f(x)=ln (x+2)-1?

Mathematics
1 answer:
svetlana [45]3 years ago
3 0
If I am reading the equation correctly, I do not believe it has a solution. 
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How can csc^2-cot^2 = 1?
Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

\csc^{2} (x) -  \cot^{2} (x) = 1

Take the left hand side and simplify to get the right hand side.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1}{\sin^{2} (x)}  - \frac{ \cos^{2} (x)}{\sin^{2} (x)}

Collect LCM for the denominators.

\csc^{2} (x) -  \cot^{2} (x) =  \frac{1 -  \cos^{2} (x)}{\sin^{2} (x)}

Recall the Pythagorean Identity.

\cos^{2} (x) +  \sin^{2} (x) = 1

This implies that:

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We substitute this to get,

\csc^{2} (x) -  \cot^{2} (x) =  \frac{\sin^{2} (x)}{\sin^{2} (x)}

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the blue dotted line means the parent function was shifted 2 units down

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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