SOLUTION: I need help with this problem: Find the difference quotient for the function {{{ f= 3x^2 - 4 }}} I know that the formula for the difference quotient is f(x+h)- f(x)/ h I just do

Algebra ->  Graphs -> SOLUTION: I need help with this problem: Find the difference quotient for the function {{{ f= 3x^2 - 4 }}} I know that the formula for the difference quotient is f(x+h)- f(x)/ h I just do      Log On


   

Question 660798: I need help with this problem:
Find the difference quotient for the function +f=+3x%5E2+-+4+
I know that the formula for the difference quotient is f(x+h)- f(x)/ h
I just don't know how to plug in and solve. I'd really appreciate it if someone could help me.
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+3x%5E2-4

f%28x%2Bh%29+=+3%28x%2Bh%29%5E2-4

f%28x%2Bh%29+=+3%28x%5E2%2B2xh%2Bh%5E2%29-4

f%28x%2Bh%29+=+3x%5E2%2B6xh%2B3h%5E2-4

-------------------------------------------------------

%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%283x%5E2%2B6xh%2B3h%5E2-4-%283x%5E2-4%29%29%2Fh

%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%283x%5E2%2B6xh%2B3h%5E2-4-3x%5E2%2B4%29%2Fh

%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%286xh%2B3h%5E2%29%2Fh

%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+%28h%286x%2B3h%29%29%2Fh

%28f%28x%2Bh%29-f%28x%29%29%2Fh+=+6x%2B3h

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