jaaaceyy
jaaaceyy jaaaceyy
  • 07-11-2020
  • Mathematics
contestada

If f(3) = 2, find f^-1(2)

Help pls

Respuesta :

Ashraf82
Ashraf82 Ashraf82
  • 10-11-2020

Answer:

[tex]f^{-1}[/tex](2) is 3

Step-by-step explanation:

In the function f(x) = y, its inverse is f(y) = x

So to find the inverse of a function switch x and y

Example:

In f(1) = 2, x = 1 and y = 2

Its inverse is [tex]f^{-1}[/tex](y) = x

Then, [tex]f^{-1}[/tex](2) = 1

Let us use this rule to solve the question

∵ f(3) = 2

∴ x = 3 and y = 2

→ To find its inverse switch x and y

∵ [tex]f^{-1}[/tex](y) = x

∴ [tex]f^{-1}[/tex](2) = 3

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