10 Part I: The Questions
Linear Equations
33–37 Solve the given linear equation.
33. 3x + 7 = 13
34. 2(x + 1) = 3(x + 2)
35. –4(x + 1) – 2x = 7x + 3(x – 8)
36. 5
3
5 1
3
10
x
x
+ =
+
37. 2
3
5
2 0
x
x
+
(
)=
+
(
)
Quadratic Equations
38–43 Solve the quadratic equation.
38. Solve x
2
– 4x – 21 = 0.
39. Solve x
2
+ 8x – 17 = 0 by completing the
square.
27. f
 
(x) = 3x
5
+ 7
28. f x
x
x
( ) = −
+
2
2
29. f x
x
x
( ) =
−
+
2 1
4
The Domain and Range of a
Function and Its Inverse
30–32 Solve the given question related to a function
and its inverse.
30. The set of points {(0, 1), (3, 4), (5, –6)} is on
the graph of f
 
(x), which is a one-to-one
function. Which points belong to the graph
of f
 −1
(x)?
31. f
 
(x) is a one-to-one function with domain
[–2, 4) and range (–1, 2). What are the
domain and range of f
 −1
(x)?
32. Suppose that f
 
(x) is a one-to-one function.
What is an expression for the inverse of
g(x) = f
 
(x + c)?