Problem

Problem:



Solution:

$ g^{-1}(7) = 1 $

$ h^{-1}(x) = \frac{x + 3}{2} $

$ (h^1 \cdot h)(3) = 3 $

Linear Plot

Problem:



Solution:

Simplify Rational Expression

Problem:



Solution:

Force vectors

Problem:



Solution:

We will work on the decomposition of the force vector here.

For 30 degree point, gravity pull the point down at 10 * 0.1 = 1N downwards. The string is under tension so it has 0.5 N going to the right and 0.866 N downwards

For 120 degree point, gravity pull the point down at 10 * 0.1 = 1N downwards, the string is not pulling it at all until it falls to a certain point

For 230 degree point, gravity pull the point down at 10 * 0.1 = 1N downwards, the string is not pulling it at all until it falls to a certain point