The composition of a function and its inverse is always

Mathematics

2 answers:

rusak2 [61]3 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]3 years ago

4 0

Answer: x

Step-by-step explanation:

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