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stellarik [79]
2 years ago
11

The composition of a function and its inverse is always

Mathematics
2 answers:
rusak2 [61]2 years ago
7 0

Lets try this with an example.

Suppose we have a function f(x)=2x.

Calculate its inverse f^{-1}(x)=\dfrac{x}{2}.

And now just simply try to find the composition,

f(f^{-1}(x))=f\Big(\dfrac{x}{2}\Big)=2\cdot\dfrac{x}{2}=x.

The answer is the composition of a function and its inverse is always function g(x)=f(f^{-1}(x))=\boxed{x}.

Hope this helps.

dusya [7]2 years ago
4 0

Answer:               x

Step-by-step explanation:

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