Excluded Values/Simplifying
Find the product and simplify:
(8p-8)/p) x ((8p2)/(9p-9))
64p/9
Subtract and simplify if possible:
(3)/(x2) - (2)/(x).
(3-2x)/(x2)
Find the intercepts of the function
f(x) = (x+1)/(x2+x-30)
x-int at (-1,0) and y-int at (0,-1/30)
Solve the equation: (x+6)/7 = (x+7)/8
x=1
What are the excluded values of the function
f(x) = (x2-16)/(x2-13x+36)
4 and 9
Find the product and simplify: (x2+12x+35)/(x2+14x+45) x (x2+9x)/(x2+5x-14)
x/(x-2)
Subtract and simplify if possible:
(6)/(x+4) - (3)/(x-4).
(3x-36) / ((x+4)(x-4))
Find the asymptotes and/or holes of the function
f(x) = (x2)/(x2-x-12)
VA at x = -3 and x=4 HA at y=1
Solve the equation: 7/x = 4 - 1/x
x = 3/2
Simplify the rational expression: (x2+6x+9)/(x2+11x+24)
(x+3)/(x+8)
Find the quotient and simplify:
(2x)/(x+2) / (x2)/(2x+4)
4/x
Add and simplify if possible:
(x-4)/(x2+10x+21) + (4x+7)/(x2+9x+14)
(5x2+17x+13) / ((x+7)(x+2)(x+3))
Find the x-intercept(s) of the functions
f(x) = (x2-1)/(x2-2x-3)
(1,0)
Solve the equation:
1/(x+7) + 2/(x+3) = -4/(x2+10x+21)
no solution
Simplify the rational expression: (4x2+12x3)/(11x+33x2)
4x/11
Find the quotient and simplify:
(4x+8)/15 / (5x+10)/(10)
8/15
Simplify the complex fraction:
(x/5 - 4/x) / (4/x+4/5)
(x2-20)/(4x+20)
Find the VA and/or hole of the function
f(x) = (x2+5x+6)/(x2-9)
VA at x=3 hole when x=-3
Martha can rake the leaves in her yard in 5 hours. Her brother can do the job in 7 hours. How long will it take them to do the job together?
35/12 hours
Find the excluded values of the rational expression: (x+1)/(4x2-10x-6)
{-1/2,3}
Find the quotient and simplify:
(x2-1)/(x2+x-2) / (x2-9)/(x2+5x+6)
(x+1)/(x-3)
The length of a rectangle is 4/(x-7) and the width is 2/x. Find its perimeter.
(12x-28) / (x(x-7))
Sketch the graph of the function
f(x) = 3/(x-4)
no x int y int at (0,-3/4) VA at x=4 HA at y=0
Amy can clean the house in 9 hours. When she works together with Tom, the job takes 5 hours. How long would it take Tom, working by himself, to clean the house?
45/4 hours