Answer: x = 0
Step-by-step explanation
The idea is to replace h(x) with 3. Then we isolate x. Follow PEMDAS in reverse to get x by itself.
Here are the steps:
h(x) = -5x+3
3 = -5x+3
-5x+3 = 3
-5x = 3-3
-5x = 0
x = 0/(-5)
x = 0
As a check,
h(x) = -5x+3
h(0) = -5*0 + 3
h(0) = 0 + 3
h(0) = 3
Therefore, the input x = 0 in the domain leads to the output h(x) = 3 in the range. We have confirmed the answer x = 0
Another way to confirm the answer is to use a graphing tool like GeoGebra or Desmos.