Question

If g(x) = -3x + 12, what is the solution set if the domain of gis (-2, 0,2}?

Answer 1

Given:

The function is

$g(x)=-3x+12$

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,

$g(x)=-3x+12$

Domain of g is {-2,0,2}.

For x=-2,

$g(-2)=-3(-2)+12$

$g(-2)=6+12$

$g(-2)=18$

For x=0,

$g(0)=-3(0)+12$

$g(0)=0+12$

$g(0)=12$

For x=2,

$g(2)=-3(2)+12$

$g(2)=-6+12$

$g(2)=6$

Now, the solution set  of the given domain of g is

$\{f(-2),f(0),f(2)\}=\{18,12,6\}$

Therefore, the solution set is {18,12,6}.