Question

Given g(x) = 5 – x^2. Find g(g(x)).

Answer 1

Answer:

$g(g(x)) = {x}^{2}$

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

$g(g(x)) = 5 - (5 - {x}^{2} ) \\ = 5 - 5 + {x}^{2} \\ = 0 + {x}^{2}$

We have the final answer as

$g(g(x)) = {x}^{2}$

Hope this helps you