asked 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

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}

Related questions

1 answer
1 vote
6.5k views
asked Sep 21, 2021 79.9k views
Kevin Zhang asked Sep 21, 2021
by Kevin Zhang
8.5k points
2 answers
4 votes
79.9k views