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3 years ago

Select the correct answer.

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

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.

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