Which of these functions has an inverse function? Select all that apply.

y = x

y = x2

y = x3

y = x4

Question

Jaylon Clayton

Mathematics

28 September, 17:31

Which of these functions has an inverse function? Select all that apply.

y = x

y = x2

y = x3

y = x4

+3

Answers (1)

Know the Answer?

Kaiden Mercado · Answer 1

So we want to know which of the following functions has an inverse function. So an inverse function is a function that "reverses" another function. We need to put y instead of x and x instead of y. So for the first case: y=x is x=y so this function has an inverse function. y=x^2 is x=y^2 so y=sqrt (x). y=x^3 is x=y^3 so y=∛x. y=x^4 so x=y^4, y=4√x or forth root of x. So all of our functions have an inverse function.

Which of these functions has an inverse function? Select all that apply.y = xy = x2y = x3y = x4

Which of these functions has an inverse function? Select all that apply.

y = x

y = x2

y = x3

y = x4