Final answer:
To find the value of x, we need to solve the equation f(x) = g(x). Given f(x) = 5x³ - 2 and g(x) = x + 1, we can set them equal to each other and solve for x.
Step-by-step explanation:
To find the value of x, we need to solve the equation f(x) = g(x).
Given f(x) = 5x³ - 2 and g(x) = x + 1, we set them equal to each other:
5x³ - 2 = x + 1
Next, we rearrange the equation to isolate the variable x:
5x³ - x - 3 = 0
Now, we can solve this cubic equation using numerical methods or factoring. For simplicity, let's use numerical methods or a graphing calculator:
The value of x is approximately -1.44771.