Respuesta :

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