Respuesta :

The inverse of the fuction y=2x³+10 is y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex].

What is an inverse variation exactly?

  • Inverse variation describes a relationship between two variables in which one increases while the other decreases.
  • Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa.

So,

All we have to do to find the inverse of an equation is switch the variables x and y.

  • x = 2y³ + 10

Now, solve for y as follows:

  • 2y³ = x - 10
  • y³ = (x-10)/2
  • y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex]

Therefore,  the inverse of the fuction y=2x³+10 is y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex].

Know more about inverse variation here:

brainly.com/question/13998680

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