Respuesta :
Answer:
h-1(x) =
Step-by-step explanation:
In order to find the inverse of a function, you have to change "h(x)" into "y" (It's the same thing, but it will be easier to solve). Then, solve the equation for "x". Finally, substitute the "y" for "x" and the "x" for "h-1(x)":
h(x)=x3-4
y = x3 - 4
y + 4 = x3
x = [tex]\sqrt[3]{y + 4}[/tex]
h-1(x) = [tex]\sqrt[3]{x+4}[/tex]
From the given function as [tex]h(x) = x^3- 4[/tex] the value of the expression
would be [tex]h-1(x) = \sqrt[3]{y+4}[/tex].
What is inverse of a function?
Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
In order to find the inverse of a function, we have to change "h(x)" into "y" Then, to solve the equation for "x".
Finally, substitute the "y" for "x" and the "x" for "h-1(x)":
[tex]h(x) = x^3- 4\\y = x^3 - 4\\y + 4 = x^3\\x = \sqrt[3]{y+4} \\h-1(x) = \sqrt[3]{y+4}[/tex]
Learn more about inverse function here:
https://brainly.com/question/19425567
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