1. Prerequisite Skills
VOCABULARY CHECK 1
Copy and complete the statement using f(x) = and g(x) = 4x + 2. x
1. The domain of f(x) is ? .
ANSWER
x ≠ 0
2. The range of g(x) is ? .
ANSWER
all real numbers
3. The composition f (g(x)) is equal to ? .
ANSWER 1
4x + 2

2. Prerequisite Skills
SKILL CHECK
Solve the equation. Check your solution.
x + 3 = 31
ANSWER 4
= 2x – 7
ANSWER 8
= –3x + 8
ANSWER –2

3. Prerequisite Skills
SKILL CHECK
Solve the equation. Check your solution.
– 3x = 28
ANSWER –6
x + 9 = 3x + 17
ANSWER 1
x + 3 = –6 – x
ANSWER –3

4. ( ) ( ) Prerequisite Skills SKILL CHECK
Solve the system using any algebraic method.
x + y = 0 ,
–2x – 4y = –30
ANSWER
(–3, 9)
x – 2y = 10 ,
x + y = –10
( )
ANSWER
– , – 2 15 5
x – 5y = 25 ,
0.5x + 1.5y = 18.5
( )
260 17
123
ANSWER ,

5. Prerequisite Skills
SKILL CHECK
Let f(x) = 2x – 1 and g(x) = –2x–1. Perform the indicated operation and state the domain.
f (g(x))
ANSWER
–4x–1 – 1, all real numbers except x = 0
f (f (x))
ANSWER
4x – 3, all real numbers
g(g(x))
ANSWER
x, all real numbers except x = 0