What is the domain of the function f(x) = 2x - 3 when the range is (-9, -3,1} ?
the domain are the possible values of x
so
For f(x)=-9
substitute in the equation and solve for x
-9=2x-3
2x=-9+3
2x=-6
x=-3
For f(x)=-3
-3=2x-3
2x=-3+3
x=0
For f(x)=1
1=2x-3
2x=1+3
2x=4
x=2
therefore
the domain is
(-3,0,2)