Algebra
f(x) = x2-3x
g(x) = -4x-2
Find (fg)(-1)
8
Find the distance between
(-3,3) and (2,15)
13
Describe the parent and transformations:
g(x) = 3x2 - 6
V Stretch by x3
V Shift down 6
Intersection of
(-infinity, 6] and (3, infinity)
(3,6]
Eliminate one point so that f is an invertible function:
{(1,7), (0,3), (4,6), (6,7), (6,0)}
(6,7) (six seven)
f(x) = x2-10x+25
g(x) = x+5
Simplify (f o g)(x)
x2
Find the equation of the circle with center (1,-4) and radius 7
(x-1)2+(y+4)2=49
Name the parent and transformation:
g(x) = (0.5)sqrt(-x)
vertical compress by 1/2
h-reflection
f(x) = sqrt(x)
Find the solution set:
|-2x-4| <10
(-infty, -7) U (3, infty)
Suppose (-3,4) is on the graph of an even function. Name another point which must be on the graph.
(3,4)
f(x) = (x2-9)/(x2-x-6)
g(x) =(x+3)/(2x+4)
Simplify (f/g)(x)
2
Sketch
f(x) = -|x-4| - 2
y=|x|
V reflect, Shift R4 D2
|-5x-25| > -2
All real numbers
Which of the following functions is neither even nor odd:
f(x) = x3-x
g(x) = 5x2
h(x) = 1/x
k(x) = 3x-4
j(x) = 2x2+1
Find the inverse of
f(x) = x3 - 6
f-1(x)=cbrt(x+6)
Find the solution to
|x-6| = |x+10|
x=-2
:)
Find the domain of
f(x) = 3 / (x2-100)
R \ {-10,10}
DAILY DOUBLE
Find a point (x,y) which is distance 5 away from (3,3) which has a different x and y coordinate than 3.
DAILY DOUBLE
Let f(x) = 2x
Find f-1(32), which is also known as log2(32)