SOLUTION: Compute f(2+h)-f(2) /h for each of the following function. Assume h does not equal 0. a) f(x) = 5 b) f(x) = x + 5 c) f(x) = x^2 d) f(x) = x^2 - x - 1 Please help, thank y

Algebra ->  Functions -> SOLUTION: Compute f(2+h)-f(2) /h for each of the following function. Assume h does not equal 0. a) f(x) = 5 b) f(x) = x + 5 c) f(x) = x^2 d) f(x) = x^2 - x - 1 Please help, thank y      Log On


   

Question 1106540: Compute f(2+h)-f(2) /h for each of the following function.
Assume h does not equal 0.
a) f(x) = 5
b) f(x) = x + 5
c) f(x) = x^2
d) f(x) = x^2 - x - 1
Please help, thank you
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is a matter of substituting and simplifying.
-----------------------------
d) f(x) = x^2 - x - 1
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%28f%282%2Bh%29-f%282%29%29%2Fh----this is the model expression you showed, but only grouping symbols included here for the adjustment.

Make the substitution:
%28%282%2Bh%29%5E2-%282%2Bh%29-1-%282%5E2-2-1%29%29%2Fh
and then simplification,...

%284%2B4h%2Bh%5E2-2-h-1-1%29%2Fh
-
%284%2B4h%2Bh%5E2-2-h-2%29%2Fh

%284-2-2%2B4h%2Bh%5E2-h%29%2Fh
%284h-h%2Bh%5E2%29%2Fh
%283h%2Bh%5E2%29%2Fh
%283%2Bh%29%28h%2Fh%29
3%2Bh
highlight%28h%2B3%29




The following was a MISTAKE ,...
%284h%2Bh%5E2%29%2Fh
cross%284%2Bh%29