SOLUTION: I am having trouble trying to find the answer for: For the function f(x)= 2x +1/x-2. a) determine the x-intercepts b) determine the equations for the vertical asymptote

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Question 857340: I am having trouble trying to find the answer for:
For the function f(x)= 2x +1/x-2.
a) determine the x-intercepts
b) determine the equations for the vertical
asymptote(s)
c) determine the equation(s) for the horizontal
asymptote(s)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X-intercepts : value of x when f%28x%29=0.
f%28x%29=0 when the numerator equals zero.
2x%2B1=0
2x=-1
x=-1%2F2
.
.
Vertical asymptotes : value of x when the denominator goes to zero.
x-2=0
x=2
.
.
Horizontal asymptote : Divide numerator and denominator by largest leading term (in this case, x) and take the limit as x goes to infinity.
y=lim%28x-%3Einfinity%2C%282%2B1%2Fx%29%2F%281-2%2Fx%29%29=%282%2B0%29%2F%281-0%29=2%2F1=2
.
.