Respuesta :

mathmate
To shift a function f(x) to left or right, use the rule
g(x)=f(x-h)
where g(x) is the result of f(x) shifted h units to the right.
To shift 4 units to the right,
g(x)=f(x-4)

We are given : Reciprocal parent function.

We know reciprocal parent function is given by [tex]f(x)=\frac{1}{x}[/tex]

It is said transformation of 4 units right.

We know function rule

To shift a function f(x) to left or right, use the rule

g(x)=f(x-h), where h is a positive number.

It's 4 unit right so, we need to substitute x=(x-4) in the reciprocal parent function.

We get transformed function

[tex]f(x)=\frac{1}{x-4}[/tex].