Find the equation(s) of all vertical and horizontal asymptotes for the function f left parenthesis x right parenthesis equals fraction numerator left parenthesis 4 x plus 1 right parenthesis left parenthesis 5 x minus 1 right parenthesis over denominator x squared minus 9 end fraction .

The vertical asymptotes are x=3 and x=-3. The horizontal asymptote is y=20.

Step-by-step explanation:

The given function is

Equate the denominator equal to 0, to find the vertical asymptotes.

Add 9 on both sides.

Taking square root on both sides.

Therefore the vertical asymptotes are x=3 and x=-3.

The given function can be written as

Degree of numerator and denominator are same.If degree of numerator and denominator are same, then horizontal asymptote is

Therefore the horizontal asymptote is y=20.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

y + 11 = (1/4)(x + 16)

step-by-step explanation: