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 $a$?

CENTTRAL Jul 25, 2021

#1**+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

ElectricPavlov Jul 25, 2021