SpencerT8410 SpencerT8410
  • 11-03-2020
  • Mathematics
contestada

The _____ _____, f(x) = x, is formed by the composition of a function and its inverse. (2 words)

Respuesta :

ChiKesselman ChiKesselman
  • 16-03-2020

Answer:

Identity function    

Step-by-step explanation:

We are given the following in the question:

Let f(x) be a function.

Then, inverse of f(x) can be written as:

[tex]f^{-1}(x)[/tex]

The composition function of the function and the reverse function can be found as:

[tex](f\circf^{-1})(x) = f(f^{-1})(x) = x[/tex]

which is an identity function.

Thus, the correct answer is

The identity function, f(x) = x, is formed by the composition of a function and its inverse.

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