diminque1234 diminque1234
  • 22-01-2020
  • Mathematics
contestada

For which pairs of functions is (fg)(x)= x?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-02-2020

Answer:

A function and its inverse

Step-by-step explanation:

The property (fg)(x)= x holds for a function and its inverse.

For instance:

Let

[tex]f(x) = 2x[/tex]

and

[tex]g(x) = \frac{x}{2} [/tex]

These two functions are inverse of each other.

[tex]f(g(x)) = 2( \frac{x}{2} ) = x[/tex]

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