The method to identify the domain and range of functions is by using graphs :-
⚡ The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis .
⚡ The range is the set of possible output values, which are shown on the y-axis .
See the attachment figure .
[NOTE :- Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values .]
✍️ So, we can observe that the graph extends horizontally from -3 to the right with +10 .
✯ Hence, the domain is [-3 , 10] .
For this case we have the following equation:
We apply distributive property on the left side of the equation:
We simplify the left side of the equation:
Different signs are subtracted and the major sign is placed.
On the right side we must take into account that:
So:
We add x to both sides of the equation:
We subtract 2 from both sides of the equation:
We multiply by 3 on both sides of the equation:
We divide by 8 on both sides of the equation:
Thus, the solution of the equation is:
Answer: