Question

let $f\left(x\right)=2x$ where the domain is the set of real numbers. What is

1. $f\left(Z\right)$?
2. $f\left(N\right)$?
3. $f\left(R\right)$?

Short answer

1. $f\left(Z)=[0,\infty \right)$
   
2. $f\left(N\right)=\left[1\mathrm{Nm}\right)$
   
3. $f\left(R\right)=\left(-\infty ,\infty \right)$
   

Step-by-step solution

Step: 1

a. Given$f\left(x\right)=2x$

Then$f\left(Z)=[0,\infty \right)$

Step: 2

b. Given$f\left(x\right)=2x$

Then$f\left(Z)=[0,\infty \right)$

Step: 3

c. Given$f\left(x\right)=2x$

Then$f\left(R\right)=\left(-\infty ,\infty \right)$