Question 225933
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Find f(x) and g(x) such that {{{h(x) = (fog)(x) = sqrt(x-7) -3}}}

1.  First find g(x) 

Pick any expression in x that is part of the right side of h(x).
Label that g(x).

2.  Second, find f(x)

Substitute x for the expression picked for f(x).
label it g(x).

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There are more than one way to do this.

1. Pick g(x) = x-7 

2. Substitute x for x-7 in the right side of h(x)
    
Right side of h(x) is {{{sqrt(x-7) -3}}}

Replace x-7 by x

{{{sqrt(x) -3}}}         

Label it f(x)

{{{f(x)=sqrt(x)-3}}}

Edwin</pre>