Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).

Domain:

Step-by-step explanation:

Given

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

Take LCM

To get the domain, we set the denominator as

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point