SOLUTION: find the domain of the composite function f of g. f(x)=x^2+9;g(x)=《qrtx-7 please show work

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Question 644704: find the domain of the composite function f of g. f(x)=x^2+9;g(x)=《qrtx-7
please show work
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
find the domain of the composite function f of g. f(x)=x^2+9;g(x)=《qrtx-7
----
f[g(x)]
= f[sqrt(x)-7]
=(sqrt(x)-7)^2+9
= x-14sqrt(x)+49 + 9
= x -sqrt(x)+58
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Domain: x >= 0
====================
cheers,
Stan H.
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