SOLUTION: if f(x)= x squared +4 & g(x)= radical 1-x what is the value of f(g(-3)) ?

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Question 443374: if f(x)= x squared +4 & g(x)= radical 1-x what is the value of f(g(-3)) ?
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
You start with f[g(-3)].
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Since it is on the inside, start with the g(-3), which is basically g(x). Therefore, if g(x)=sqrt%281-x%29, then g(-3)=sqrt%281-%28-3%29%29
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f[sqrt%281-%28-3%29%29]
f[sqrt%281%2B3%29]
f[sqrt%284%29]
f(2)
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Since f(x)=x%5E2+%2B+4, then f(2)=2%5E2+%2B+4
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2%5E2+%2B+4
4+%2B+4
8
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Therefore, f[g(-3)]=8