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1 vote
What’s the inverse of F(x)=x^3 +7 ?

2 Answers

5 votes

Answer:

y = (x - 7)^(1/3)

Explanation:

Notice that f(x) is a monotonically increasing function (so it has an inverse along the domain
\mathbb{R}\rightarrow \mathbb{R}.

To find the inverse, we interchange the variables and solve for y.

So interchanging the variables gives us:

x = y^3 + 7.

We then solve for y, giving us:

x - 7 = y^3

y = (x - 7)^(1/3).

User Klijo
by
8.7k points
4 votes

f−1(x)=3√7+x

Is the answer



User AntoineMoPa
by
8.3k points

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