SOLUTION: If f is a function defined by the equation f(x) = x^2 + 3x + 4
a) find f(a+h) - f(a) / h when a and h are real numbers and h is not equal to 0
Can you please help me out? Thank
Algebra.Com
Question 754076: If f is a function defined by the equation f(x) = x^2 + 3x + 4
a) find f(a+h) - f(a) / h when a and h are real numbers and h is not equal to 0
Can you please help me out? Thanks so much in advance:)
Can you also please show me the steps it would help me understand better:)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If f is a function defined by the equation f(x) = x^2 + 3x + 4
a) find f(a+h) - f(a) / h
----
f(a+h) = (a+h)^2 + 3(a+h) + 4
----
f(a+h) = a^2 + 2ha + h^2 + 3a + 3h + 4
----
f(a+h) = a^2 +3a + 4 + 2ha + h^2 + 3h
f(a) = a^2 + 3a + 4
------
So: f(a+h)-f(a) = h^2 + 2ha + 3h
------
Then, dividing by "h" you get:
[f(a+h)-f(a)]/h = h + 2a + 3
=================
Cheers,
Stan H.
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