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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 $a$?

 Jul 25, 2021
 #1
avatar+37159 
+1

Start with f(x) = 8          where x , in this case is g(a)

f(x) = 8

x^2 + 8 = 8 

x = 0           rememeber   that x is g(a) in this case,    so   a^2 - 4 =0

 

a^2 - 4 = 0

a^2 = 4

a = +-2

 Jul 25, 2021

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