Question

he output values of are the same as the output values of the composition function when is composed with one of these functions as the input function. for which of the functions is this statement true?

Answer 1

The statement is true for even functions, which are functions that satisfy the property f(-x) = f(x) for all x in the domain.

Step-by-step explanation:

The statement is true for even functions. An even function is a function that satisfies the property f(-x) = f(x) for all x in the domain. When an even function is composed with itself, the output values will be the same as the original function. For example, if f(x) = x^2 is an even function, then f(f(x)) = f(x^2) = (x^2)^2 = x^4. The output values of f(x) are the same as the output values of f(f(x)).