SOLUTION: f(x)= 7x + 5 / 2 - 3x find vertical and horizontal asymptots and given equation. I think the Ha. is 7/3??????????

Algebra ->  Matrices-and-determiminant -> SOLUTION: f(x)= 7x + 5 / 2 - 3x find vertical and horizontal asymptots and given equation. I think the Ha. is 7/3??????????      Log On


   

Question 114937: f(x)= 7x + 5 / 2 - 3x find vertical and horizontal asymptots and given equation. I think the Ha. is 7/3??????????
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical Asymptote:

Set the denominator equal to zero

2+-+3x=0




-3x=0-2Subtract 2 from both sides


-3x=-2 Combine like terms on the right side


x=%28-2%29%2F%28-3%29 Divide both sides by -3 to isolate x



x=2%2F3 Reduce

--------------------------------------------------------------

Since x=2%2F3 makes the denominator equal to zero, the vertical asymptote is x=2%2F3




Horizontal Asymptote:

You are close, but you're missing a negative sign

Take the leading coefficient of the numerator (which is 7) and the denominator (which is -3, note the negative) and divide them: 7%2F-3=-7%2F3


So the horizontal asymptote is y=-7%2F3