Question

Find (f/g)(8) for f(x) = 3x - 1 and g(x) = x^2 - x.

A. -23/6
B. 4
C. -4
D. 23/6

Answer 1

To find (f/g)(8), substitute 8 into f(x) and g(x), divide the resulting values, and simplify the fraction.

Step-by-step explanation:

To find (f/g)(8), we need to substitute 8 into both f(x) and g(x), and then divide the resulting values. Let's start with f(x) = 3x - 1:

f(8) = 3(8) - 1 = 24 - 1 = 23

Now, let's find g(8) = (8)^2 - 8 = 64 - 8 = 56

Finally, divide f(8) by g(8) to obtain (f/g)(8): (f/g)(8) = 23/56, which is approximately 0.41.

Therefore, the correct answer is D. 23/6.