College Math Placement Test Functions 3

Question 1

What is the inverse of f(x) = (x + 3) / 2?

Accepted Answer

f⁻¹(x) = 2x - 3

Answer

f⁻¹(x) = 2x + 3

Answer

f⁻¹(x) = (x - 3) / 2

Answer

f⁻¹(x) = x/2 + 3

Question 2

The function f(x) = -|x - 2| + 5 has a maximum value of:

Accepted Answer

5

Answer

2

Answer

7

Answer

-5

Question 3

If f(x) = x² and g(x) = x + 1, which expression equals (g ∘ f)(x)?

Accepted Answer

x² + 1

Answer

x² + 2x + 1

Answer

(x+1)²

Answer

x³ + x²

Question 4

Which value of x is NOT in the domain of f(x) = 1 / (x² - 9)?

Accepted Answer

x = 3

Answer

x = 0

Answer

x = 1

Answer

x = -1

Question 5

If f(x) = 4x - 1, what is f(f(2))?

Accepted Answer

28

Answer

7

Answer

27

Answer

31

Question 6

A function f has the property that f(-x) = f(x) for all x. This means f is:

Accepted Answer

Even

Answer

Odd

Answer

One-to-one

Answer

Onto

Question 7

Which of the following is the range of f(x) = 3 / (x² + 1)?

Accepted Answer

(0, 3]

Answer

All real numbers

Answer

[0, 3)

Answer

(-∞, 3]