Determine the equations of the vertical and horizontal asymptotes, if any, for f(x) =2x/x+4 A. X=4,x = -2 –2. –4 C. X=-4

Question

Determine the equations of the vertical and horizontal asymptotes, if any, for f(x) =2x/x+4
A. X=4,x = -2
–2. –4
C. X=-4, y = 2
d x–4, 7–2
Please select the best answer from the choices provided

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Isabelle 2 weeks 2021-11-16T02:20:51+00:00 1 Answer 0 views 0

Answers ( )

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    2021-11-16T02:22:48+00:00

    Option C: x=-4 , y=2 is the asymptotes of the equation.

    Explanation:

    The equation is f(x)=\frac{2x}{x+4}

    The vertical asymptote of the equation can be determined by equating the denominator of the equation to zero.

    Thus, we have,

    x+4=0

          x=-4

    Hence, the vertical asymptote of the function is x=-4

    Now, we shall determine the horizontal asymptote.

    The horizontal asymptote of the function can be determined by dividing the leading coefficient of x in the numerator by the leading coefficient of x in the denominator.

    Thus, we have,

    y=\frac{2}{1}

    y=2

    Hence, the horizontal asymptote of the function is y=2

    Therefore, Option C is the correct answer.

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45:7+7-4:2-5:5*4+35:2 =? ( )