Question 111849

Find the {{{domain}}} of {{{y=x+3}}} if the {{{range}}} is {{{-1}}},{{{1}}},{{{3}}},{{{5}}}

Substitute each value for {{{y}}} and solve for {{{x}}}.


{{{y = x+3}}} ...............plug in first value {{{-1}}}

{{{-1 = x+3}}}.....move {{{3}}} to the left 

{{{-1 - 3 = x}}}.....

{{{- 4 = x}}}.....


{{{y = x+3}}} ...............plug in first value {{{1}}}

{{{1 = x+3}}}.....move {{{3}}} to the left 

{{{1 - 3 = x}}}.....

{{{- 2 = x}}}.....


{{{y = x+3}}} ...............plug in first value {{{3}}}

{{{3 = x+3}}}.....move {{{3}}} to the left 

{{{3 - 3 = x}}}.....

{{{0 = x}}}.....


{{{y = x+3}}} ...............plug in first value {{{5}}}

{{{5 = x+3}}}.....move {{{3}}} to the left 

{{{5 - 3 = x}}}.....

{{{2 = x}}}.....

so, the domain is: {{{-4}}},{{{-2}}},{{{0}}},{{{2}}}