Simplifying...
Multiplying...
Add/Subtract
Solving Equations
Graphing
100
(x^2+4x)/(x^2+x-12)
x/(x-3)
100
Multiply:
(x^2-2x-3)/(x^2-x-2)*(x^2+x-6)/(x^2+2x-15)
(x+3)/(x+5)
100
Add..
2/(x+4)+x/(x-3)
(x^2+6x-6)/((x+4)(x-3))
100
(n+5)/(n+8)=1+6/(n+1)
n=-17/3
100
Identify the vertical asymptote
f(x)=(x^2-x-6)/(4x-5)
VA:
x=5/4
200
Simplify
(3x-9)/(5x^2-14x-3)
3/(5x+1)
200
(x^2-4x-5)/(x^2-3x+2)*(x^2-4)/(x^2-3x-10)
(x+1)/(x-1)
200
Subtract...
(2x)/(x-1)-9/(x-2)
(2x^2-13x+9)/((x-1)(x-2))
200
4/(n+1)+1/(n^2-5n+6)=1/(n-6)
n=8
200
Identify the vertical asymptote
f(x)=(3x^2-12)/(x^2+4x+3)
V.A @ x=-1 & -3
300
Simplify
(x^2-25)/(x^2+12x+35)
(x-5)/(x+7)
300
Multiply:
(x^2-2x-8)/(9x^2-16)*(3x^2+10x+8)/(x^2-16)
(x+2)^2/((3x-4)(x+4))
300
Add..
x/(x+3)+1/(x-3)
(x^2-2x+3)/(x^2-9)
300
3/(x-5)-20/(x^2-25)=2/(x+5)
No Solution
300
Identify the horizontal asymptote
g(x)=(x^2-7x-8)/(x^2-9)
H.A. @ y = 1
400
Simplify:
(x^2-13x+36)/(x^2-16)
(x-9)/(x+4)
400
Multiply:
(4x^2+15x+9)/(8x^2+10x+3)*(2x+1)/(x^2+4x)
(x+3)/(x(x+4))
400
Subtract...
x/(x+3)-18/(x^2-9)
(x-6)/(x-3)
400
x/(x-6)+3/(x+8)=(x^2)/(x^2+2x-48)
x=18/11
400
h(x)=(3x-9)/(x^2+6x+5)
V.A @ x=-1, -5
H.A : None
500
(6x^2-x-40)/(4x^2+12x+5)
(3x-8)/(2x+1)
500
Multiply:
(4x^2-20x+25)/(x^2-4x)*(3x-12)/(2x-5)
(3(2x-5))/x
500
Add...
(x-1)/(x^2+3x+2)+x/(x+1)
(x^2+3x-1)/((x+2)(x+1))
500
(3x)/(x^2+5x+6)+2/(x^2+x-2)=(5x)/(x^2+2x-3)
x=1/2, x=-6
500
V.A. @ x=-7, 1
H.A @ y=3