The function is given by the formula f (x) = 3x ^ 3 + 5. At what value of x is the value of the function equal to -370?

In order to be able to answer the question posed, it is necessary to find such a value of the variable x for which the equality f (x) = –370 is true.
Substitute the given function instead of f (x). Then, we have: 3 * x ^ 3 + 5 = –370. Let’s solve the resulting equation according to the general rules.
Subtract from both sides of equality 5. Then, we get: 3 * x ^ 3 = –375. Divide both sides of the equality by 3. This action will give us a new equation: x ^ 3 = –125.
It is clear that x = –5 satisfies this equality. Thus, For x = –5, the value of f (x) = 3 * x ^ 3 + 5 is –370.
Answer: x = –5.