Given f(x)= (square root) x+3, g(x)=x^2-9 and h(x)=1/x

Determine a) f o g

b) g o h

c) f o g o h

d) g o f o h

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- Dec 28th 2007, 08:18 AMjohettmore Composition function
Given f(x)= (square root) x+3, g(x)=x^2-9 and h(x)=1/x

Determine a) f o g

b) g o h

c) f o g o h

d) g o f o h - Dec 28th 2007, 08:39 AMPlato
Here are two examples. Use them to work your problems.

$\displaystyle h \circ f(x) = \frac{1}{{\sqrt {x + 3} }}\,\& \,f \circ h(x) = \sqrt {\frac{1}{x} + 3}

$ - Dec 28th 2007, 11:24 AMmathgeek777
For the first one, you simply plug in the function

*g*for x in function*f*. B is the same process for different functions.

C is a little trickier. What it is asking you to do is plug in the function*h*for x in function*g*. Once you get that, you then plug in function*f*into all x's in the g o h composite function. Then simplify. D is the same thing, but the functions are being plugged in in a different order. - Dec 28th 2007, 11:40 AMPlato
- Dec 28th 2007, 12:57 PMmathgeek777
- Dec 28th 2007, 05:08 PMjohett
Can someone post the final answers so when I'm finish, I can check if I did it right. Thank you :)

- Dec 29th 2007, 04:04 AMPlato
- Dec 29th 2007, 07:05 AMtopsquark