Simplifying Rational Expressions
Simplify the rational expression.
(x^2+5x-14)/(x^2-4x+4)
(x+7)/(x-2)
What is the equation of the vertical asymptote?
f(x)=1/(x-3) +2
x=3
Multiply and simplify.
(x-3)/(2x-8) * (x^2-16)/(x^2-9)
(x+4)/(2(x+3))
Add/Subtract and simplify:
(u-v)/(8v)+(6u-3v)/(8v)
(7u-4v)/(8v)
Solve the rational equation:
4/(2x)=5/(x+6)
x=4
Simplify the rational expression.
(x^2-9x+14)/(x^2-5x-14)
(x-2)/(x+2)
What is the equation of the horizontal asymptote?
f(x)=4/(x+2)-1
y=-1
Multiply and simplify:
(6x^2-18x)/(x^2-10x+21) * (x^2-14x+49)/(3x^2)
(2(x-7))/x
Add/Subtract and Simplify:
6/(x-1)-(5x)/(4)
(24-5x^2+5x)/(4(x-1))
Solve the rational equation:
3/(x+2)=6/(x-1)
x=-5
Simplify the rational expression.
(2x^2+2x-4)/(x^2-5x-14)
(2(x-1))/(x-7)
a) Find the Horizontal Asymptote
b) Find the Vertical Asymptote
c) Find the hole (if applicable)
(3x^2+21x+30)/(2x^2+8x-10)
horizontal asymptote: y=3/2
vertical asymptote: x=2
Hole: x=-5
Divide and simplify.
(3x+27)/(6x-48) div (x^2+9x)/(x^2-4x-32)
(x+4)/(2x)
Add/Subtract and Simplify:
3/(x+7)+4/(x-8)
(7x+4)/((x+7)(x-8))
Solve the rational equation:
4/x+x=5
x=4,1