Bluebook SAT Math: Advanced Functions Questions and Answers 4

Question 1

If f(x) = 2x³ - 6x² + 4x and g(x) = x - 1, what is the value of f(g(3))?

Accepted Answer

8

Answer

12

Answer

16

Answer

20

Question 2

A company's profit function is P(x) = -2x² + 80x - 600, where x is the number of items sold in hundreds. Which of the following represents the maximum profit the company can achieve?

Accepted Answer

$400

Answer

$200

Answer

$600

Answer

$800

Question 3

If h(x) = (x + 3)/(x - 2) and h(a) = 5, what is the value of a?

Accepted Answer

13/4

Answer

-2

Answer

3

Answer

17/4

Question 4

The function f(x) = x⁴ - 8x² + 16 can be written in which of the following equivalent forms?

Accepted Answer

(x² - 4)²

Answer

(x² + 4)²

Answer

(x - 2)⁴

Answer

(x + 2)(x - 2)³

Question 5

A ball is thrown upward from a height of 5 feet with an initial velocity of 32 feet per second. Its height h(t) = -16t² + 32t + 5, where t is time in seconds. At what time will the ball reach its maximum height?

Accepted Answer

1 second

Answer

0.5 seconds

Answer

1.5 seconds

Answer

2 seconds

Question 6

If f(x) = 3x - 2 and f⁻¹ is the inverse function of f, what is f⁻¹(7)?

Accepted Answer

3

Answer

1

Answer

2

Answer

4