*50 POINTS*

Select each function that has an inverse that is also a function for all values of x.

A. F(x) = 2x^2 + 4x - 3

B. F(x) = 2x + 3

C. F(x) = 3/2(x) + 2

D. F(x) = 2x^3 + 2

E. F(x) = 2x^4 + 3x^2 - x + 1
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joaobezerra 4 months ago
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Considering the condition for an inverse function, it is found that the functions that also have an inverse for all values of x are given by:

B. F(x) = 2x + 3

C. F(x) = 3/2(x) + 2

D. F(x) = 2x^3 + 2

What is the condition for an inverse function?

A function f(x) has an inverse if it does not have any horizontally aligned points, that is, if f(a) = f(b), then a = b.

Polynomial functions of even degrees have horizontally aligned points, hence functions A and E do not have inverses.

The other polynomial functions, with odd degrees, have inverses.

More can be learned about inverse functions at https://brainacademy.pro/question/8824268

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