Question

given f(x) = x^2 and g(x) = square root of x,
find g(f(x))

Answer 1

\[g(f(x))=g(x^2)=\sqrt{x^2}\]
How else can you write this?

Answer 2

Close... What happens if \(x\) is negative?

Answer 3

Let's suppose the simplified form is indeed \(x\)...

Answer 4

That means you would be able to plug in negative values of \(x\):