Add and subtract fractions2/(x-2) + 3/(2-x) + 1/(x+3)
1 answer:
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Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
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1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
First, multiply 1/2 and 2 by 6 to simplify the equation. Then, subtract 12 from both sides of the equation to get x alone. Finally divide both sides of the equation by 3 to get x on it's own. That is your solution. X=-2/3 I attached a picture of my work. Hope this helped!
