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
This president was inducted into the national Wrestling Hall of Fame in 1992. He was defeated only once in roughly 300 matches.
President Abraham Lincoln
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
What is the smallest country in the world?
Whether measuring by size (0.17 sq mi) or population (1,000), Vatican City is the smallest country in the world.
Which country has the most lakes in the world?
Canada with approximately 879,800 lakes.
Divide and simplify.
(5x^2y^3)/(x^7) div (30xy^4)/(y^3)
y^2/(6x^6)
Simplify the rational expression.
(2x^2+2x-4)/(x^2-5x-14)
(2(x-1))/(x-7)
f(x)=(3x-8)/(5x+7)
State the domain and range.
domain:
x!=-7/5
range:
y!=3/5
Multiply and simplify.
(x-3)/(2x-8) * (6x^2-96)/(x^2-9)
(3(x+4))/(x+3)
Simplify the rational expression.
(8x^2+10x-3)/(6x^2+13x+6)
(4x-1)/(3x+2)
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)