Question

Determine the average rate of change of the function between the given values of the variable.

f(t)=2/t; t=a, t=a+h

I get (2a-2)/(-a)

Answer 1

the average rate of change is usually defined as :\[\frac{f(x+h)=f(x)}{(x+h)-(x)}\]

Answer 2

*= meant to be a -

Answer 3

I'm using that, not sure where I'm going wrong through

Answer 4

\[\frac{\frac{2}{a+h}-\frac{2}{a}}{a+h-a}\]

\[\frac{\frac{2a-2(a+h)}{a}}{h}\]

\[\frac{\frac{2a-2a-2h}{a}}{h}\]

\[\frac{\frac{-2h}{a}}{h}\]

\[\frac{-2\cancel{h}}{a\cancel{h}}=-\frac{2}{a}\]
if i did it right

Answer 5

i see a place i messed it at

Answer 6

the answer key says (-2)/a(a+h)

Answer 7

i shoulda combined my denoms :)
\[\frac{\frac{2a-2(a+h)}{a(a+h)}}{h}\]

Answer 8

but yeah, it works out to that

Answer 9

i wouldnt know where your going wrong at either,since i cant see your work :)

Answer 10

i got to the first part of your post but am kind of confused at the second

Answer 11

the second part is just working thru the math ....

which part gets you lost? other than my mess up with adding the fractions :/