merrickmcroberts merrickmcroberts
  • 18-02-2021
  • Mathematics
contestada

Give that the point (15,-11) is on the graph of a one-to-one function f(x), find a point on the graph of f^{-1}.

Respuesta :

erinna erinna
  • 23-02-2021

Given:

The point (15,-11) is on the graph of a one-to-one function f(x).

To find:

The a point on the graph of [tex]f^{-1}[/tex].

Solution:

We know that, if the points on the graph of a one to one function are given by (x,y), then the points on the graph of its inverse function are given by (y,x).

In the point (15,-11).

x-coordinate = 15

y-coordinate = -11

In the inverse function,

x-coordinate = -11

y-coordinate = 15

Therefore, the required point on the graph of [tex]f^{-1}[/tex] is (-11,15).

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