SOLUTION: Let f(x)=x²-2. Evaluate f(x+h)-f(x)/h for some nonzero constant h. You must show work. Okay so this is what I did, correct me if I am wrong f(x)= ((x²-2)+h)-x²-2/h can someo

Algebra ->  Trigonometry-basics -> SOLUTION: Let f(x)=x²-2. Evaluate f(x+h)-f(x)/h for some nonzero constant h. You must show work. Okay so this is what I did, correct me if I am wrong f(x)= ((x²-2)+h)-x²-2/h can someo      Log On


   



Question 981784: Let f(x)=x²-2. Evaluate f(x+h)-f(x)/h for some nonzero constant h. You must show work.
Okay so this is what I did, correct me if I am wrong
f(x)= ((x²-2)+h)-x²-2/h can someone help me with the rest?

Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=x^2-2. Evaluate f(x+h)-f(x)/h for some nonzero constant h. You must show work.
Okay so this is what I did, correct me if I am wrong
f(x)= ((x^2-2)+h)-x^2-2/h can someone help me with the rest?
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f(x)=x^2-2
Sub x+h for x
f(x+h) = (x+h)^2 - 2
= x^2 + 2hx + h^2 - 2
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f(x+h)-f(x)/h = %28%28x%5E2+%2B+2hx+%2B+h%5E2+-+2%29+-+%28x%5E2-2%29%29%2Fh
= 2hx%2Fh
= 2x

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
To show the quotient correctly, you MUST properly group the numerator. The forward slash character alone does not act as a grouping symbol.

Be careful what you express!
f%28x%29=x%5E2-2 is your function given.
f%28x%29%3C%3E%28%28%28x%5E2-2%29%2Bh%29-x%5E2-2%29%2Fh.

You want to use your algebra skills to form the difference quotient for your function.

%28%28%28x%2Bh%29%5E2-2%29-%28x%5E2-2%29%29%2Fh

This need to be simplified.




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Be sure you understand f%28x%29%3C%3E%28%28%28x%2Bh%29%5E2-2%29-%28x%5E2-2%29%29%2Fh.