Question 60769
Just as domain are the x values, range are the y values.  To null out any confusion, "y" is the same as "f(x)" if that is the notation you are using.<br>

For each range value -1, 1, 3, and 5, we will have an x value.  To find the corresponding x to each y value, we just plug in the range for y, one at a time<br>

-1:
y=x+3     replace y with -1
-1=x+3   minus three on both sides
-4=x  there, so for the range value -1, the domain is -4.<br>

1:
1=x+3  minus three
-2=x  .: [the sign for 'therefore'] for the range 1, the domain is -2.<br>

3:
3=x+3  minus three both sides
0=x  so for range 3 domain is 0.<br>

5:
5=x+3  minus three both sides
2=x  so for range 5 domain is 2<br>

We just put them in order.  We were given range {-1,1,3,5} so our domain should be {X when y=-1, X when y=1, X when y=3, X when y=5} in that order.  X when y=-1 was -4, X when y=1 was -2, X when y was 3 was 1, X when y was 5 was 2.  Our answer is thus {-4,-2,1,2}. <br>

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