inverse log

Let us learn about inverse log

If 2 functions g(x) & f(x) are defined so that (f ο g) (x) = x and (g ο f) (x) = x we say

that g(x) & f(x) are inverse functions of each other.

Functions f(x) & g(x) are inverses of each other in case the operations of g(x) reverse all the operations of f(x) in the reverse order & the operations of f(x) reverse all the operations of g(x) in the reverse order

The Best Example: Determine the inverse log function of f(x) = log(x + 5).

Solution: f(x) = log(x + 5)

We know that, f(f^-1(x)) = x.

So, f(f^-1(x + 5)) = log(f^-1(x) + 5) = x

i.e., 10^x = f^-1(x) + 5 ( log₁₀y = x => 10^x = y )

f^-1(x) = 10^x - 5

This is the required inverse log function.

In our next blog we shall learn about about the author examples I hope the above explanation was useful.Keep reading and leave your comments.