They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does.
Answer: A
Step-by-step explanation:
For this problem, we need to understand how translations work.
As you can see, the triangles only slide to the right side, along the x axis. Therefore, we can eliminate B and C.
Now, we can see that the triangle has shifted by +8 units. Therefore, A is the correct answer.
That would be the commutative property
Yes its right
hope this helps