Question

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

Help pls

Answer 1

`f^(-1)`(2) is 3

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
`f^(-1)`(y) = x

Then,
`f^(-1)`(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

∵
`f^(-1)`(y) = x

∴
`f^(-1)`(2) = 3