SOLUTION: Given the function g(x) = 6 - x^2, evaluate [g(x + h) - g(x)]/ h, h ≠ 0.
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Question 1124912: Given the function g(x) = 6 - x^2, evaluate [g(x + h) - g(x)]/ h, h ≠ 0.
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If the expression to evaluate were written correctly, result should become .
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I fixed your question because what you actually asked was:
"Evaluate \ -\ \frac{g(x)}{h})
" Parentheses are extremely important. So is proofreading your post BEFORE you submit.
\ =\ 6\ -\ x^2)
\ -\ g(x)}{h},\ \ h\ \not=\ 0)
^2\ -\ \(6\ -\ x^2\)}{h})
Perform the binomial expansion and collect like terms. Given correct arithmetic, all of the numerator terms should contain one or more factors of 
, so you can eliminate the in the denominator.
John
My calculator said it, I believe it, that settles it
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