Question

What is the domain and range of $f\left(x\right)=\frac{1}{x}$?

Answer 1

Find the domain and range of $f\left(x\right)=\frac{1}{x}$.

• Domain is the set of all values for which the function is defined
• Range is the set of all the output values that a function takes.

Now, as the function $f\left(x\right)=\frac{1}{x}$is defined for all real values of $x$ accept $x=0$. Because at this point function is not defined.

So, the domain of the function is $R-\left\{0\right\}$ also the range of the function$f\left(x\right)=\frac{1}{x}$, for every value of $x$ (accept $x=0$) we get $f\left(x\right)=R-\left\{0\right\}$

Therefore, the domain and range of the function is $R-\left\{0\right\}$.