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