# College Algebra Questions

## Question 1

Simplify: 9log9(4) =
A. 3
B. 4
C. 9
D. 81

## Question 2

Simplify: 3log3(-5) =
A. -5
B. 3
C. 9
D. undefined

## Question 3

If f(x) = -2x2 + 8x – 4, which of the following is true?
A. The maximum value of f(x) is – 4.
B. The graph of f opens upward.
C. The graph of f has no x-intercept
D. f is not a one to one function.

## Question 4

If f(x) = 5 – 2x, then f-1(- 3) =
A. 8/39
B. -3
C. 3
D. 32

## Question 5

If logx(3) = 1/4, then x =
A. 81
B. 1/81
C. 3
D. 9

## Question 6

If f(x) = -x2 + 1, then f(x + 1) =
A. -x2 + 1
B. -x2 – 2x
C. -x2
D. -x2 -2x – 2

## Question 7

If f(x) = x – 4, then (fof)(3) = =
A. 1
B. -1
C. -5
D. 5

## Question 8

If ln(3x – 2) = 1, then x =
A. 2/3
B. (2 + e)/3
C. 3/2
D. e/3

## Question 9

The number of solutions of (x2 + 1)2 + 2(x2 + 1) – 3 = 0 is equal to
A. 1
B. 2
C. 3
D. 4

## Question 1o

If the graph of y = (x – 2)2 – 3 is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by
A. y = x2 + 2
B. y = (x – 2)2 + 5
C. y = (x + 2)2 + 2
D. y = (x – 4)2 + 2

## Question 11

If f(x) = -ex – 2, then the range of f is given by the interval
A. (-∞ , -2)
B. (-∞ , +∞)
C. (-2; , +∞)
D. (-∞ , +2)

## Question 12

If f(x) = √(x – 1) / (x2 – 9), then the domain of f is given by the interval
A. (1 , +∞)
B. (-3 , +3)
C. [1 , 3)U(3 , +∞)
D. (-3 , 3)U(3 , +∞)

## Question 13

The number of points of intersections of the graphs of y = 2x and y = -x2 + 2 is equal to
A. 0
B. 1
C. 2
D. 3

## Question 14

If f(x) = ln(x + 1) – 2, then f-1(x) =
A. ex + 1 – 2
B. ex – 2
C. ex + 2 – 2
D. ex + 2 – 1

## Question 15

For all x real, √(x2 -4x + 4) =
A. x – 2
B. x + 2x + 2
C. |x – 2|
D. x + 2

## Question 16

The value of x that makes x2 + 6x + 13 maximum is equal to
A. 6
B. -3
C. 13
D. 3

## Question 17

eln(3) – ln(2) + ln(1/x) =
A. 3 / (2x)
B. 3x/2
C. 1 + 1/x
D. 3/2 – 1/x

## Question 18

If f(x) = (x – 1) / (x + 2), then the range of f is given by the interval
A. (-∞ , -2)U(-2 , +∞)
B. (-∞ , 1)U(1 , +∞)
C. (-2; , +∞)
D. (-∞ , 1)

## Question 19

ln((x – 1)2) = 2 ln(x – 1) for all x in the interval
A. (-∞ , +∞)
B. [0 , +∞)
C. (-∞ , 1)U(1 , +∞)
D. (1 , +∞)

## Question 20

Let f(x) = x2 + 2x + 4. Which of the following statements is NOT true?
A. f(x) has a maximum value
B. The graph of f is not a line
C. The graph of f has no x-intercepts.
D. The graph of f has a y-intercept.