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$\"\"$

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The functions are $\"\"$ .

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The composition of f with g is $\"\"$

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$\"\"$ (Definition of $\"\"$ )

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$\"\"$ (Definition of $\"\"$ )

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$\"\"$ (Definition of $\"\"$ )

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$\"\"$ (Simplify) $\"\"$

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The composition of g with f is $\"\"$

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$\"\"$ (Definition of $\"\"$ )

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$\"\"$ (Definition of $\"\"$ )

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$\"\"$ (Definition of $\"\"$ )

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$\"\"$ (Simplify)

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Since $\"\"$ .

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Since f and g functions are inverse. $\"\"$

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The functions f and g are inverse.

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$\"\"$

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The functions are $\"\"$ .

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$\"graph$

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The graphs are reflections of each other in the line y = x.

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The reflective property by testing a few points on each graph.

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If the point (a,b) is on the graph of f then point (b,a) is lie on the graph of g.

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Some points $\"\"$ and extra are lie on the graph of f and these reflective points $\"\"$ and extra are lie on the graph of g.

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Since functions f and g are inverse by the graphically. $\"\"$

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The functions $\"\"$ in the graph is

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$\"graph$