Let consider these function
Let
f(x)=2x+3
g(x)=2x−3
If function f(x) and g(x) are inverses, their composition will equal x
Composition 1:
f(g(x))=f(x)=2(2x+3)+3=22x=x
Composition 2:
g(f(x))=2(2x+3)−3=x+3−3=x
Hence these are inverse as their compositions equal x.
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