Need some one to make sure that i did this right and if i have the wrong rule what is it and the rule had to work for all the numbers

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

5x + 2 = 12 solve the following equation. then place the correct number in the box provided.

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)