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Find the difference quotient of f; that is, find
[f(x + h) - f(x)]/x, where h cannot be 0. Be sure to simplify.
Let rt = square root
f(x) = [sqrt{x + h} - rt{x})]/h
1. Is this the correct set up?
2. Must I rationalize the denominator in this example?
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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No. That's good as it is.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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No. That's good as it is.
Bob
The fact that f(x) = rt{x} in the numerator indicates that I must rationalize the denominator or numerator in order to simplify.
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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Only if the denominator contains a root.
B
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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Only if the denominator contains a root.
B
f(x) = [sqrt{x + h} - rt{x})]/h
f(x) = [sqrt{x + h} - rt{x})]/h • [sqrt{x + h} + rt{x})]/[sqrt{x + h} + rt{x})]
[sqrt{x + h} - rt{x})]/h • [sqrt{x + h} + r{x}]/[sqrt{x + h} + r{x}]
Numerator
[sqrt{x + h} - r{x}][sqrt{x + h} + r{x}] = h
Denominator
h[sqrt{x + h} + r{x}]
f(x) = h ÷ h[sqrt{x + h} + r{x}]
I know that h cancels out.
f(x) = 1/[sqrt{x + h} + r{x}]
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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Pages: 1