1.1 Functions
1.2 Types of Functions
1.3 Composite Functions
1.4 Inverses
1.5 Logarithms
100
Given h(x)=2x+3, what is h(4x+1)?
8x+5
100
Is the following function even, odd, or neither?
g(x)=2x2-5
Even
100
Let h(x)=10-x2 and g(x)=2x+1. Find (hog)(x).
-4x2-4x+9
100
Find the inverse function of h(x)=3-2x.
h^(-1)(x)=(3-x)/2
100
Give the domain of the function.
y=log3(x+17)
Set of R >-17
200
What is the domain of
f(x)=sqrt(5x-4)
RRge4/5
200
Is the following function even, odd, or neither?
w(x)=2x-x3
odd
200
What is the domain of hog and goh? g(x)=x2+1 and
h(x)=3/(x-2)
hog domain is all R except 1 and -1
goh domain is all R except 2
200
A function f is given by f(x)=5x+7. What is the rule for f-1(x)?
f^-1(x)=(x-7)/5
200
Simplify. log416+log48-log42
3
300
Given f(x)=4x2-x+5 , find f(2) and f(1/2).
f(2)= 19
f(1/2)= 5.5
300
Are the following graphs functions? If so, is it one-to-one?
Both functions, first one is not one-to-one, second one is one-to-one.
300
Find the domain of f(g(x)) and g(f(x)). g(x)=x2+1.
f(x)=1/x
f(g(x)):Set of R
g(f(x)): Set of R except 0
300
Graph the inverse. 
300
Simplify log3
root(5)(81)
4/5
400
List all ordered pairs and graph the relation whose domain is {-2, -1, 0, 1, 2} which relates to the independent variable x with the dependent variable y=-2x-2.
{(-2,2), (-1,0), (0,-2), (1,-4), (2,-6)}
400
Show that the following function is not one-to-one.
g(x)=4x2-25
You get the same answer if you plug in a positive and negative number of the same value.
g(1)=-21 and g(-1)=-21
Therefore, it is many-to-one.
400
Let f(x)=(x-1)3 and k(x)=x2-6. Evaluate (fok)(3) and (kof)(1).
(fok)(3)=8
(kof)(1)=-6
400
What is the value of f-1(4)?
f(x)=(x+1)/(x-3)
13/3
400
Solve log5(2x-15)=3
x=70
500
Find the domain of
f(x)=(-5x)/(sqrt(4x+24)
Set of R > -6
500
Is the following function a one-to-one or many-to-one function?
h(x)=3x2-6
You get the same answer if you plug in a positive and negative number of the same value.
h(1)=-3 and h(-1)=-3
Therefore, it is many-to-one.
500
Find the domain of gof. g(x)=x2 and
f(x)=sqrtx
Domain is the set of all positive numbers.
500
Find the rule for f-1.
f(x)=(2x-8)/(5x+1)
f^-1(x)=(-x-8)/(5x-2)
500
Give the domain of y=log8lx-2l
Set of R except 2