Function composition

**^_^Engineer_Adam^_^** · November 17th 2006, 03:29 AM

Given $f(x) = \frac{3}{x}$

Is it gonna be $f(x+h) = \frac{3}{x} + h$
or
$f(x+h)=\frac{3}{x+h}$

another question
Given $G(x) = \sqrt{4-x}$

is it gonna be $G(x+h) = \sqrt{4-x+h}$ or $\sqrt{4-x} + h?$

**malaygoel** · November 17th 2006, 03:36 AM

Originally Posted by ^_^Engineer_Adam^_^

Given $f(x) = \frac{3}{x}$

Is it gonna be $f(x+h) = \frac{3}{x} + h$
or
$f(x+h)=\frac{3}{x+h}$

another question
Given $G(x) = \sqrt{4-x}$

is it gonna be $G(x+h) = \sqrt{4-x+h}$ or $\sqrt{4-x} + h?$

in the first question,
you are replacing x by x+h in left hand side......... so what would be the change in right hand side, x would be replaced by x+h, hence your second attempt is correct..

Think about the second question the same way
Keep Smiling
Malay

**^_^Engineer_Adam^_^** · November 17th 2006, 03:55 AM

$G(x) = \sqrt{4-x+h}$ or $\sqrt{4-(x+h)}?$

**ThePerfectHacker** · November 17th 2006, 04:07 AM

Originally Posted by ^_^Engineer_Adam^_^

$G(x) = \sqrt{4-x+h}$ or $\sqrt{4-(x+h)}?$

Second one.

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