Respuesta :
Given:
The function is
[tex]g(x)=-3x+12[/tex]
Consider the given domain of g is {-2,0,2}.
To find:
The solution set if the domain of g for the given domain.
Solution:
Domain is the set of input values and range is the set of output value.
We have,
[tex]g(x)=-3x+12[/tex]
Domain of g is {-2,0,2}.
For x=-2,
[tex]g(-2)=-3(-2)+12[/tex]
[tex]g(-2)=6+12[/tex]
[tex]g(-2)=18[/tex]
For x=0,
[tex]g(0)=-3(0)+12[/tex]
[tex]g(0)=0+12[/tex]
[tex]g(0)=12[/tex]
For x=2,
[tex]g(2)=-3(2)+12[/tex]
[tex]g(2)=-6+12[/tex]
[tex]g(2)=6[/tex]
Now, the solution set of the given domain of g is
[tex]\{f(-2),f(0),f(2)\}=\{18,12,6\}[/tex]
Therefore, the solution set is {18,12,6}.
