Question

Question: let$\mathit{f}\mathbf{\left(}\mathit{x}\mathbf{\right)}\mathbf{=}\mathbf{2}\mathit{x}$ where the domain is the set of real numbers. What is

1. $\mathit{f}\mathbf{\left(}\mathit{Z}\mathbf{\right)}$?
2. $\mathit{f}\mathbf{\left(}\mathit{N}\mathbf{\right)}$?
3. $\mathit{f}\mathbf{\left(}\mathit{R}\mathbf{\right)}$?

Short answer

Answer:

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

b)$f\left(N\right)=\left[1,\infty \right)$

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

Step-by-step solution

Step: 1

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

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

Step: 2

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

Then$f\left(N\right)=\left[1,\infty \right)$

Step: 3

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

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