the algebra of functions
adding
f(x)=x+1 g(x)=2x
3x+1
y=9x
y=3x-24
(-4,-36)
solve for 2x+3 is greater than or equal to -5
x is greater than or equal to -4
[-4, infinity)
(-10,10)
x^2-x-12=0
{-3,4}
subtracting
f(x)=4x-5 and g(x)=2x
2x-5
x+y=-8
x-y=-2
(-5,-3)
2x+4 >10
(3, infinity)
lx-6l<9
(-3,15)
(2x+9)(3x-5)
6x^2+17x-45
multiplying
f(x)=4x-5 and g(x)=2x
8x^2-10x
y=-x-32
y=7x
(-4,-28)
12x-8 is less than or equal to 3x-15
(- infinity, -7/9)
l4(x-1)+10l is less than or equal to 6
[-3,0]
9x^2=30x-25
{5/3}
dividing
f(x)=4x-5 and g(x)=2x
4x-5/2x
2x-y=9
3x-5y=17
(4,-1)
4x-1 is greater than or equal to 35
[9, infinity)
lxl>15
(- infinity, -15)u (15, infinity)
(2x-8)(2x-2)
4x^2-20x+16
adding
f(x)=4x-5 and g(x)=2x
6x-5
4x+14y=8
2x-14y=4
(2,0)
6-(x+7) is greater than or equal to 7-2x
[8, infinity)
l5x-18l>17
(- infinity, 1/5) u (7, infinity)
(x+10)^2
x^2+20x+100