Question

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

Answer 1

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:

$f^{-1}(x)$

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

$(f\circf^{-1})(x) = f(f^{-1})(x) = x$

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.