Simplify Rational Functions
(d^2+8d)/(2d)
(d+8)/(2)
(x^2)/(x+3) *(x^2+4x+3)/((x^2-2x)
(x(x+1))/(x-2)
Find the vertical asymptote(s), horizontal asymptote(s), and hole(s) of the graph:
f(x)=(x+3)/(x-2)
VA: x=2
HA:y=1
holes: none
(3)/(12y)+(9)/(24)
(2+3y)/(8y)
f(x)=x2-x-1 when x = -1
x=1
(6x^3+6x^2)/(2x^3-2x)
(3x)/(x-1
(7x^4)/(24y^5)-:(21x)/(12y^4)
(x^3)/(6y)
Describe the vertical asymptote(s), horizontal asymptote(s), and hole(s) of the graph: f(x)=(x+3)/(x^2-9)
VA:x=3
HA: y=0
Hole: (-3, -1/6)
(x)/(x+6)-(1)/(x)
{(x-3)(x+2)}/(x(x+6)
f(x)=x-1 g(x) = x2 what is g(f(-1))
4
(x^2+9x+18)/(x+6)
x+3
Which country has the most lakes in the world?
Canada with approximately 879,800 lakes.
Describe the hole of the following graph:
y=(x^2+4x)/(x^2+3x-4)
Hole= (-4, 4/5)
(x+1)/(4x^2-9)-(4)/(2x-3)
(-7x-11)/{(2x-3)(2x+3)
What are the roots of x2-21x+20
x=1 x=20
(x^2+13x+40)/(x^2-2x-35)
(x+8)/(x-7)
Multiply and simplify.
(x-3)/(2x-8) * (6x^2-96)/(x^2-9)
(3(x+4))/(x+3)
Find the horizontal asymptote of the graph of y=(x^2-2x)/(-3x+9)
y=-x/3-1/3
(3)/(x+4)-(1)/(x+6)
(2(x+7))/((x+6)(x+4)
What is the inverse of f(x) = 5-4x
f-1(x)=(5-x)/4 or (x-5)/-4
(4x^2-12x+9)/(2x^2+15x-27)
(2x-3)/(x+9)
(2x^2+5x-3)/(x^2-4x)*(2x^3-8x^2)/(x^2+6x+9)
(2x(2x-1))/(x+3)
Describe the vertical asymptote(s), horizontal asymptote(s), and hole(s) for the graph of f(x)=(3x^2-5x-2)/(x^2-3x+2)
VA: x=1
HA: y=3
Hole: (2, 7)
1/x+(x-1)/5
(x^2-x+5)/(5x)
What is the horizontal asymptote of f(x) =
(4x^2-3x-9)/(3x^2-5x+1)
x=4/3