Ithink the first and fourth are the correct answers but im not 100% sure

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

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

How many solutions does the nonlinear system of equations graphed below have?