Question

What is the domain of y=-2x+6

Answer 1

See below

Explanation:

`y=f(x)=-2x+6`

Once by definition, the domain is all the possible inputs of the function, when it is defined, for the function
`f` the domain is all real numbers.

`Dom(f) = \mathbb{R} = (-\infty, \infty )`

On the other hand, for example, the domain of tangent is

`Dom(tan) = \left\{x: x\\eq (\pi)/(2) + k\pi, k\in\mathbb{Z} \right\}`

Because the tangent function is undefined for
`(\pi)/(2) + k\pi, k\in\mathbb{Z}`

The domain of tangent can also be written as

`$\bigcup_(k=-\infty)^(\infty) \left( ((2k+1)\pi)/(2), ((2k+3)\pi)/(2) \right)$`