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Find the norm of the operator $Ax(t)=x(\sqrt{t})$

I figured out that it is well-defined and got that $Ax(t)=x(\sqrt{t})$ and $A:C[0,1] \to C[0,1]$

But I cannot find a function where this is the norm, so I assume that the norm is less than one. I need to prove this, and find a function to which this applies. All input is well received.