Question

For the function q(x) =10 times rootindex 5 startroot x minus 2 endroot, what is the inverse function?

Answer 1

Hence, the inverse of the given function is ${(\frac{x}{10})}^5 - 2$

What is a function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.

How to solve?

given function,

                 q(x) = 10$\sqrt[5]{x-2}$

say y=q(x)

now we have,

                y = 10$\sqrt[5]{x-2}$

                $\frac{y}{10}$ = $\sqrt[5]{x-2}$

raising to 5th power on both sides,

               $(\frac{y}{10})^5$ = x - 2

               x =  $(\frac{y}{10})^5$ + 2

               $q^{-1}(x) =$ ${(\frac{x}{10})}^5 - 2$

to learn more about functions: brainly.com/question/25638609

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