Bluebook SAT Test Algebra and Functions

Question 1

If f(x) = 3x - 2 and g(x) = x + 4, what is f(g(2))?

Accepted Answer

16

Answer

14

Answer

10

Answer

4

Question 2

A function f is defined by f(x) = 2x + 1 for x < 0 and f(x) = x² - 1 for x ≥ 0. What is f(-3) + f(2)?

Accepted Answer

2

Answer

-4

Answer

4

Answer

0

Question 3

If f(x) = x² - 4 and f(a) = 12, what are the possible values of a?

Accepted Answer

a = 4 or a = -4

Answer

a = 4 only

Answer

a = -4 only

Answer

a = 8 or a = -8

Question 4

The function h(x) = -2|x - 3| + 6. What is the maximum value of h(x)?

Accepted Answer

6

Answer

3

Answer

12

Answer

-6

Question 5

If f(x) = 5x + 2 and f⁻¹ is the inverse function, what is f⁻¹(17)?

Accepted Answer

3

Answer

87

Answer

2.6

Answer

7

Question 6

Which of the following represents an odd function?

Accepted Answer

f(x) = x³ - x

Answer

f(x) = x² + 1

Answer

f(x) = |x|

Answer

f(x) = x² - x

Question 7

The domain of f(x) = √(2x - 6) is x ≥ k. What is the value of k?

Accepted Answer

3

Answer

6

Answer

2

Answer

-3

Question 8

If g(t) = t/(t-2) for t ≠ 2, what is g(g(6))?

Accepted Answer

3/2

Answer

6/5

Answer

3

Answer

5/3