A particle moves along the x-axis with the potential energy shown in the picture. What is the x-component of the force when the particle is located at x = 4 m?.

That would be kinetic energy

Make them both to where they have the denominator of 18that makes 3/2 equal 27/18 and 1/9 equal 2/18so now you have  27/18x+5=2/18subtract 5 from the other sideso now you have 27/18x+2/18-5then subtract 2/18 from 27/18 to get 25/18x=-5then divide 25/18 by -5 and your answer will be  -5/18