SOLUTION: Find f(x) and g(x) such that h(x) = (f ◦ g)(x) and h(x) = √(x – 7) – 3.

Find f(x) and g(x) such that 

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 

Replace x-7 by x

         

Label it f(x)



Edwin