[tex]y=g(f(x)) \\ \\ 1) \ y=(\sqrt{x} )^2 \ \Rightarrow \ y=x, \ x\geq 0 \\ 2) \ y=\frac{1}{3} (3x) \ \Rightarrow \ y=x \\ 3) \ y=x+2-2 \ \Rightarrow \ y=x \\ 4) \ y=\frac{5}{\frac{5}{x} } \ \Rightarrow \ y=x \\ \\ y=f(g(x)) \\ \\ 1) \ y=\sqrt{x^2} \ \Rightarrow \ y=|x| \\ 2) \ y=3 \cdot \frac{1}{3}x \ \Rightarrow \ y=x \\ 3) \ y=x-2+2 \ \Rightarrow \ y=x \\ 4) \ y=\frac{5}{\frac{5}{x} } \ \Rightarrow \ y=x[/tex]
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[tex]y=g(f(x)) \\ \\ 1) \ y=(\sqrt{x} )^2 \ \Rightarrow \ y=x, \ x\geq 0 \\ 2) \ y=\frac{1}{3} (3x) \ \Rightarrow \ y=x \\ 3) \ y=x+2-2 \ \Rightarrow \ y=x \\ 4) \ y=\frac{5}{\frac{5}{x} } \ \Rightarrow \ y=x \\ \\ y=f(g(x)) \\ \\ 1) \ y=\sqrt{x^2} \ \Rightarrow \ y=|x| \\ 2) \ y=3 \cdot \frac{1}{3}x \ \Rightarrow \ y=x \\ 3) \ y=x-2+2 \ \Rightarrow \ y=x \\ 4) \ y=\frac{5}{\frac{5}{x} } \ \Rightarrow \ y=x[/tex]