Math 1090 Section 5 Test1
Name:
Read all directions carefully and show all your work for full credit.
Each of the following questions is worth 10 points total. Your score on the exam will
consist of the 10 best scores on the following 12 questions taken out of a total of 100
points. Good Luck!!!
1. Find all solutions to (x
3
5)
2
10(x
3
5) + 9 = 0
2. If W (x) = x 2 and N (x) = x 1 nd and simplify (N W )(x) and (W N )(x).
3
p
3. Find an inverse function for U (x) = 13 2x 6 + 7 on the whole real line. Find
all solutions to U (x) = 0 and U (x) = 1. Do not simplify your answer!
4. Find all real solutions to the equation
p
256
5x 15
p
256
x+9=0
5. Wireless microphones are being produced by WM INC. The total xed costs for
producing the microphones is $30,000 a month. If each microphone costs $20
for the company to produce in variable costs, and a microphone retails for $35
then how many microphones must the company sell in order to make at least
$50,000 per month?
p
6. Find all real solutions to the inequality jx + 5j 10 81
p
7. Graph the function F (x) = j x 1 1j. Use the horizontal line test on your
graph to determine if it is one to one or not. Hint: (The safe way to go is to
pick values for x (at least 5 or six) and nd the resulting values for F (x))
8. Find the domain of B (x) and nd B (0) and B (2) when
8 px
>
< x
B (x) = >
: x
x0
2 +2
(
3)
1
(3 +2)(x
5)(x)
x>0
9. Find all solutions to the equation:
x2 + 4 = 1
x2 5x+4 x2 1
10. Use your p
knowledge of shifts, reections, and how graphs stretch, to graph
T (x) =
(x + 5) + 2. Find and write out functions a(x), b(x), c(x), d(x),
and e(x) such that (a b c d e)(x) = T (x)
11. Find all solutions to the equation j3x 5j + x
2
6 + 4x = 0.
12. If G(x) = x 4x+1, then nd and simplify the dierence quotient
but do not do anything after that.
2
G(x+h) G(x) ,
h
1. (10pts)
2. (10pts)
3. (10pts)
4. (10pts)
5. (10pts)
6. (10pts)
7. (10pts)
8. (10pts)
9. (10pts)
10. (10pts)
11. (10pts)
12. (10pts)
total