calculus review: Let f(x) = (4x + 4)^(1/2), and ....

blue4882

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Sep 2, 2006
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Let f(x) = (4x + 4)^(1/2)

Write an expression for:

[f(1 + h) - f(1)] [f(1 + h) + f(1)]

Please help! Thank you!
 
Hi Blue,
You have got to learn to write mathematics for the web.
Go to the top of this page. The is a tab ‘Forum Help’.
On it are several links. Karl’s notes is the easy way out.
But LaTex is the best way to do mathematics on the web.

We cannot read what your posted.
 
It is a very good idea to learn some LaTex. If I may, I think I know what you mean. Correct me if I am wrong.

\(\displaystyle \L\\f(x)=\sqrt{4x+4}\)

Write an expression for:

\(\displaystyle \L\\(f(1+h)+f(1))(f(1+h)-f(1))\)

If this is indeed what you have, in your equation enter 1+h in for x and 1 in for x and simplify.

For instance, I'll show you one part and you finish.

\(\displaystyle \L\\f(1+h)+f(1)\)

\(\displaystyle \L\\\sqrt{4(1+h)+4}+\sqrt{4(1)+4}\)

Now, do the other, multiply it with this one and simplify.

It'll reduce to something very simple and nice.
 
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