Function Composition

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February 12th 2008, 12:24 PM
Mortifix

Function Composition

I am stuck on this problem. Let f(x)=sqrt(1-x) and g(x)=sqrt(x-1). Determine (fog)(x). Thanks for the help (Bow)
February 12th 2008, 12:32 PM
Jhevon

Quote:

Originally Posted by Mortifix

I am stuck on this problem. Let f(x)=sqrt(1-x) and g(x)=sqrt(x-1). Determine (fog)(x). Thanks for the help (Bow)

$(f \circ g)(x)$ means $f(g(x))$ . that is, you plug in the function g for x in the function f.

so, $f(g(x)) = \sqrt{1 - (g(x))} = \cdots$ ?
February 12th 2008, 12:42 PM
Mortifix

So $<br /> f(g(x)) = \sqrt{1 - \sqrt{x-1}} =$ ?
February 12th 2008, 12:51 PM
Jhevon

Quote:

Originally Posted by Mortifix

So $<br /> f(g(x)) = \sqrt{1 - \sqrt{x-1}} =$ ?

yes

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