Inverse Function Formula

Inverse Function Formula

In mathematics, the inverse function is a function that reverses the other function. For instance, the function  

f(x)=y
, then the inverse of
y
is
g(y)=x
. If a function has an inverse function, it can be termed as invertible.

Let

f
be the function and the inverse be f-1.  It can also be written as
g(f(x))=x
. The formula for inverse function is,

f(x)=y⇔f−1(y)=x

Solved Examples

Question 1: Find out the inverse function of f(x) = 2x + 3 ?

Solution:

Given function is,
f(x) = y = 2x + 3

Inverse function equation is, f-1(y) = x

So

x
can be find out from the above expression.

2x = y – 3

x=y−32

So, f-1 =

y−32

 

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