Question

Select the correct answer.

Answer 1

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function 'f' in the interval x = a and x = b is given by,

Average rate of change of change = $\frac{f(b)-f(a)}{b-a}$

Given function is,

g(x) = $\frac{5}{x-1}+2$

We have to calculate the rate of change in the interval [-4, 3],

Average rate of change = $\frac{g(3)-g(-4)}{3-(-4)}$

g(3) = $\frac{5}{3-1}+1$

       = 2.5 + 1

       = 3.5

g(-4) = $\frac{5}{-4-1}+1$

       = -1 + 1

       = 0

Average rate of change = $\frac{3.5-0}{3+4}$

                                        = $\frac{3.5}{7}$

                                        = $\frac{1}{2}$

Therefore, Option B will be the answer.