Question

if i have f(x)=3-2x

how do i determine its domain and range?

Answer 1

first change f(x) to y
so y = 3 - 2x
the domain is (-inf,+ inf) because there are no values of x that would render the equation undefined

the range is
x = -(y-3)/2

now the range is also (-inf, + inf) because there are no values of y that would render the equation undefined

Answer 2

you can also write the domain and range as {x:xER} i think that was the notation which denotes that the domain and range are the values of x such that x is a set of real numbers