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
.
Answer:
1 1/9
Step-by-step explanation:
put the problem into the calculator and divide. so simple
Answer:
The total mechanical energy is 0.712 J.
Step-by-step explanation:
A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.
The total mechanical energy is given by the sum of the kinetic energy and the potential energy.
Kinetic energy = 0.47 J
Potential energy = 0.242 J
The total mechanical energy is
T = 0.47 + 0.242 = 0.712 J