Answer to Question #261400 in Algebra for Fredie

Question

Find the domain and range of the rational function f(x)=7+x using the notation

Answer 1

The function $f(x)$ $=7+x$ is linear

Its domain are set of values that $x-$ values of the function can be real and defined

Range are set of values that $f(x)$ can be real and defined

There are no restrictions to these values nor are there undefined points

Domain

$\therefore\>D: {{x\in\Reals}}$ $\implies -\infin <x<\infin$

and in interval notation the domain can be written as

$(-\infin,\infin)$

Range

$R: (y\in\reals)$ $\implies\>-\infin<f(x)<\infin$

In interval notation

$(-\infin,\infin)$