Answer:

Step-by-step explanation:
Given function,

Step 1 : Replace g(x) by y:

Step 2 : Swap x and y:

Step 3 : Solve the equation for y ( isolate y in the left side ):





Step 4: Replace y by
:

Hence, the inverse of the function g(x) is
.
The answer is a because it is open circle
This equation is in point-slope form. To change it to standard form, you must distribute -1/2 to (x+4) to get -1/2x-2. Your equation should now be y-8 = -1/2x-2. You should then add 1/2x to both sides (to cancel out -1/2x on the right side). Now, you should have y+1/2x-8 = -2. Finally, add 8 to both sides (to cancel out -8 on the left side) and flip the x and the y to get a final answer of 1/2x+y = 6.
4/11 because when you multiply 5x4x you get 20x , so 8-2x=20x. Then you move the terms with variables and get -2x-20x=-8. This gives you the answer that -22x=8 and when u divide by 22 to both sides, you get 4/11.