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}.