Answer:
x = 0.5 because when we plug x = 1.056525 into the original equation, it is not true.
Step-by-step explanation:
1.) f(x) = 2x^3 + 2x - 3 and g(x) = - 0.5 |x - 4|
2.) 2x^3 + 2x - 3 = - 0.5 |x - 4|
3.) 2x^3 + 2x - 3 = - 0.5(x - 4)
4.) 2x^3 + 2x - 3 = - 0.5 x - (x - 4)
5.) x = 0.5, 1.056525
6.) When x = 1.056525, the original equation 2x^3 + 2x - 3 = - 0.5 |x - 4| does not hold true. We will drop x = 1.056525 from the solution set.
7.) x = 0.5
