Answer:
[tex]g(g(x)) = {x}^{2} [/tex]
Step-by-step explanation:
g(x) = 5 - x²
In order to find g(g(x)) substitute g(x) into the same g(x) that's for every x in g (x) replace it with g(x)
That's
[tex]g(g(x)) = 5 - (5 - {x}^{2} ) \\ = 5 - 5 + {x}^{2} \\ = 0 + {x}^{2} [/tex]
We have the final answer as
[tex]g(g(x)) = {x}^{2} [/tex]
Hope this helps you
