is this correct?
given: f(x)=x/x+1
find: f(2+h)
= f(2) + f(h)
= 2/3 + h/h+1
To find f(2+h) replace it into original equation wherever there is x
f(2+h)= 2+h/2+h+1
= 2+h/3+h
No, the steps you followed to find f(2+h) are incorrect. Let's go through the correct method:
Given: f(x) = x/(x + 1)
To find f(2+h), we substitute 2+h into the original equation wherever there is x:
f(2+h) = (2+h) / (2+h + 1)
Now, we simplify the expression:
f(2+h) = (2+h) / (3+h)
Therefore, the correct value of f(2+h) is (2+h) / (3+h).