SOLUTION: I am working on functions (fractions/ division) but I am stumped. Any help is appreciated.
compute and then simplify the quantity f (a + h) − f (a):
f(x)=2/x+1
thank
Algebra.Com
Question 295296: I am working on functions (fractions/ division) but I am stumped. Any help is appreciated.
compute and then simplify the quantity f (a + h) − f (a):
f(x)=2/x+1
thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's compute , we do this by simply replacing each 'x' with 'a+h' and simplifying. So
Similarly, doing the same for gets us
This then means that
So the goal now is to simplify
Take note that the LCD is . So multiply the first fraction by to get
Now multiply the second fraction by to get
Combine the fractions:
Distribute:
And finally combine like terms:
So in the end,
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