Question 35

Consider the graphs of function f and function g shown at left. What is the value of g(f(2)) ? Solution: -6  To find g(f(2)), we will start from the inner function first.  f(2) is the value of function f when x=2.  We can easily observe from the graph...

Question 31

The scatter plot drawn in the image below depicts the concentration, f, in milligrams per liter (mg/L), of an antibiotic in a patient’s bloodstream x hours after taking the antibiotic. Which of the following functions best describes the relationship shown ? 1)...

Question 30

Researchers measured the heart rates of several randomly selected astronauts exercising on stationary bicycles during long-term space missions. The researchers found the mean heart rate of the astronauts was 155 beats per minute with a margin of error of 12 beats per...

Question 20

If 4x – y = 12. What is the value of 16x / 2y (A) 212 (B) 44 (C) 82 (D) The value cannot be determined from the information given. Solution: Choice A is correct. 16x / 2y = 24x / 2y = 24x-y Now 4x – y = 12 (given in the question) Therefore, 16x / 2y = 212, which is...

Question 19

If 3x + 3x + 3x = 316 What is the value of x? Solution:  15 3x + 3x + 3x can be written as 3x(1+1+1) = 3x+1 Therefore, 3x+1 = 316 Hence x+1 = 16 Or x = 15.

Question 18

What is the domain of the function defined by f(x) = \sqrt [ 3 ]{ \begin{matrix} { 16x }^{ 2 }- & 1 \end{matrix} }\ \ \ \ ? (A) -1/4 ≤ x ≤ 1/4 (B) -1/4 ≤ x or x  ≥ 1/4 (C) x ≥ 0 (D) All Real Numbers Solution: Choice D is correct. The radicand in a cube root...