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Given f(x) = 2x³+3x²-12x+7 = (x-1)² (2x+7), differentiate to find f¹(x)​

User Pondol
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Explanation:

We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:

g(x) = f − 1(x) or f(x) = g−1(x)

One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.

Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.

We check whether or not a function has an inverse in order to avoid wasting time trying to find something that does not exist.

User Jed Richards
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