Question

How do you find the domain of `f(x)=-2x+3`?

Answer 1

See below.

Explanation:

There becomes a restriction in the domain if there is an `x` in the denominator of a fraction, or there is a square root, etc., such that a zero-bound exists.

In this case, no matter what `x` is, `y` will always be real. For example, as `x` approaches infinity, `y` approaches negative infinity. As `x` approaches `0`, the range approaches `3`.

Thus, the domain spans from `(-oo,oo)`.