145k views
3 votes
H(x) = x3 - 4, find h-1(x).h-1(x) = 4х+4h-1(x) = (х + 4ОАОв+h-1(x) =44х+4

User Xudesheng
by
4.0k points

1 Answer

5 votes

The given function is


h(x)=x^3-4

We have to find


h^(-1)(x)^{}

This means we have to find the inverse of h(x).

First, we isolate x.


\begin{gathered} y=x^3-4 \\ y+4=x^3 \\ x=\sqrt[3]{y+4} \end{gathered}

Then, we change the position of the variables.


y=\sqrt[3]{x+4}

Therefore, the inverse is A.


h^(\cdot1)(x)=\sqrt[3]{x+4}

User Matthew Butterick
by
4.9k points