Hi Monique,
The statement "if f(x) = 1" tells me you are defining the function f to have the property that f(x) = 1 regardless of the value of x. This is a particularly uninteresting function. It is like a broken bathroom scale that always gives the same weight regardless of who stands on it.
Now look at
f(f(x)) = 2x + 4
What I see is
f(f(x)) = 2x + 4
and f(x) = 1 so this reduces to
f(1) = 2x + 4
But f(x) has that strange property that its value is 1 regardless of the value of x, so
f(1) = 1. Hence your equation is
1 = 2x + 4
Solve for x.
Penny
