If f(± 2) = 2and g(± 2) =? 2evaluate f(g(2)) and g(f(-2))

Step by solution Step 1 of 2 Consider the given functions f(± 2) = 2and g(± 2) = 2. If we want to find the value of f(g(2)) we must start with the inner function g(2). It is given that g(± 2) = 2or g(2) = g( 2) = 2. Therefore we have: f (g(2))=f(-2). We know that f(± 2) = 2or f(2) = f( 2) = 2, hence we can write: f(g(2))=f(-2)=2.