SOLUTION: Find the domain of y=x+3if the range is {-1,1,3,5} I don't get this

Algebra.Com
Question 27985: Find the domain of y=x+3if the range is {-1,1,3,5}
I don't get this

Answer by sdmmadam@yahoo.com(530)   (Show Source): You can put this solution on YOUR website!
Find the domain of y=x+3if the range is {-1,1,3,5}
I don't get this
The range set that is the set of images is {-1,1,3,5}
The correspondence is y = x+3 (which is clearly a 1-1 function that is every image y is having a single preimage x)
so x here is from (x+3) = y
x = y-3 ---(*)
If y = -1 then x = (-1)-3 = -4
Verification: What gets mapped onto (-1) under y = x+3 gives us (-4)as answer and of course (-4) = 3 = -1
Thus if y=-1, then x is -4
Similarly y=1 in (*) gives x = -2
y=3 in (*) gives x = 0
y=5 in (*) gives x = 2
Thus the set that gets mapped onto {-1,1,3,5}
under y = f(x) = x+3 is given by
{-4,-2,0,2}


RELATED QUESTIONS

How do we find the domain, range and intercepts of any given graph? For example, find... (answered by ikleyn)
Is the Domain and Range of this function, all real numbers...... (answered by solver91311)
find the domain and range of the function... (answered by stanbon)
What is the domain and range of this equation:... (answered by scott8148)
What is the range of y = 1 - x2; Domain = {-1, 0, 1} && y = 4x - x2; Domain = {-1,... (answered by Fombitz)
I believe this would be the best place to ask...Okay, this is a relation (set of... (answered by venugopalramana)
State the domain and range of f^-1 (x) given a) f(x)= x+3 This is what I have tried... (answered by Nate)
Find the range of the function for the domain {–3, 1, 4.5}. y = –x +... (answered by jim_thompson5910)
Find the range of the function for the domain {–3, 1, 4.5}. y = –x +... (answered by tommyt3rd)