function g(x) =-x+3 a)Determine the range value when the domain value is -2 b)Determine the domain value when the range value is 0

Question

I don't remember how to do the question

Answer 1

In all of the math classes I have taken, range typically references the y values and domain references the x values. Also g(x) is the y value

Therefore:

a)find range(y) value when domain(x) = -2

y = -(-2) + 3        Substitute -2 in for x

y = 2 + 3             Multiply -2 by -1

y = 5                   Add 2 + 3

b) find domain(x) value when the range(y) value = 0

(0) = -x + 3         Substitute 0 in for g(x) or y

-3 = -x                Subtract 3 from both sides

x = 3                   Divide both sides by -1