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Given that $a > 0$, if $f(g(a)) = 8$, where $f(x) = x^2 + 8$ and $g(x) = x^2 - 4$, what is the value of $a$?

 Apr 30, 2021
 #1
avatar+184 
0

a= @

     /||\

     >>

 Apr 30, 2021
 #2
avatar+121000 
+1

Note  that

 

f(0) =    8

 

Which implires  that

 

x^2  - 4    =   0

x^2  =  4

x =  2  =    a

 

 

cool cool cool

 Apr 30, 2021

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