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helpfulAnswer:
( (x + 14) / 14 )^(1/3)Step-by-step explanation:
To find the inverse of g(x), we need to solve for x in terms of g(x).
That is, we need to find a function f such that f(g(x)) = x. Here's how we can do it:
Replace g(x) with y. So, we have y = 14x^3 - 14.
Solve for x in terms of y.
y = 14x^3 - 14 y + 14 = 14x^3 x^3 = (y + 14) / 14 x = ((y + 14) / 14)^(1/3)
Replace y with f(x) to obtain the inverse function.
f(x) = ((x + 14) / 14)^(1/3)
Therefore, the inverse of g(x) is = ((x + 14) / 14)^(1/3).
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