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I am trying to find the tangent slope of this one, so essentially just simplifying as much as possible 

(sqrt(x) - 2) / (x - 4) 

my answer: 1/(sqrt(x) + 2x -8) 

and 

Find the vertical asymptotes of the graph of f(x): (x^2 - 4) / (x^3 + 2x^2 + x + 2) 

My answer: none

asked Jul 18, 2014 in PRECALCULUS by anonymous

2 Answers

0 votes

2) The rational function image

Simplify the rational function.

image

Apply the formula difference of two squares image

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image

vertical asymptotes are found  by solving denominator = 0.

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image

image

image

image

In this case roots are imaginary.

Therefore, there is no vertical asymptotes.

Your answer is correct.

answered Jul 18, 2014 by david Expert
edited Jul 18, 2014 by david
0 votes

1) The function  image

Simplify the function.

image

image

image

Derivative of the function is the slope of the tangent .

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Apply derivative on each side with respect of x.

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Apply quotient rule in derivatives

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image

Your answer is wrong.

answered Jul 18, 2014 by david Expert
edited Jul 18, 2014 by david

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