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3 years ago

G(x)=4x²-3x+7Find g(3)From an algebra ii class in the section about functions.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

6 0

Find the vertical asymptotes, if any, for the following function. Please show all of your work.

f(x) = -2x(x+2)/4x�-3x-7

To find vertical asymptotes, set denominator to 0, then solve for x

4x^2-3x-7=0

(x+1)(4x-7)=0

x+1=0

x=-1

4x-7=0

4x=7

x=7/4

Vertical Asymptotes:

x=-1

x=7/4

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Find where the equation is undefined ( when the denominator is equal to 0.

Since they say x = 5, replace x in the equation see which ones equal o:

5-5 = 0

So we know the denominator has to be (x-5), this now narrows it down to the first two answers.

To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.

In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)

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Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.

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