contestada


Which of the following does NOT describe the relationship between any function,
f (x), and its corresponding inverse function f-1 (x)?

A. The graph of f(x) and f-1(x) are symmetrical about the line y=x.

B. The domain and range of the function, f(x), are reversed in the inverse of the function, f-1(x).

C. The inverse of a function, f-1(x), contains all the same points as the original function, f(x).

D. The inverse of a function, f-1(x), is not always a function itself.

Respuesta :

I think the answer is c good luck! (It for sure can’t be a or b)

Using the concept of inverse function, it is found that the correct option, that is, the false statement is given by:

C. The inverse of a function, f-1(x), contains all the same points as the original function, f(x).

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  • An inverse relationship, that is, an inverse function, is a relationship that maps point (x,y) to point (y,x), that is, point (x,y) in the original function is point (y,x) in the inverse function, which means that the inverse function does not contain all the same points as the original, and option c is the answer to this question.
  • The graph of the function and it's inverse are symmetric about the line y = x, thus option a is correct.
  • In the inverse function, the domain and range are reversed from the original, thus statement b is correct.
  • The inverse is only a function if on the original function one value of the output corresponds to one value of the input, that is, [tex]f(a) = f(b)[/tex] if, and only if, [tex]a = b[/tex], thus statement d is correct.

A similar problem is given at https://brainly.com/question/23950969

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