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3 years ago

Compute the average rate of change of f(x)=(x+4)/(x-3) over the interval [5,7].

Mathematics

1 answer:

muminat3 years ago

7 0

Answer:

C) - 7/8

Step-by-step explanation:

Average rate of change is:

[f(7) - f(5)]/(7 - 5)

Find the values and substitute into expression:

f(7) = (7 + 4)/(7 - 3) = 11/4
f(5) = (5 + 4)/(5 - 3) = 9/2 = 18/4

Find the rate of change:

(11/4 - 18/4)/2 = (-7/4)/2 = - 7/8

Correct choice is C

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