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Which function has an inverse function?
In this picture, there are the options, which one it's?
A, B, C or D
Will give you 15pts

Which function has an inverse function In this picture there are the options which one its A B C or D Will give you 15pts class=

Respuesta :

apologiabiology
well, it is one that, when reflected across the y=x line, is still a function (use vertical line test)

the first one will not be a function when reflected
2nd won't either
3rd won't
4th will

D is answer

Answer:

The function whose inverse is also a function is:

               [tex]f(x)=x^5-3[/tex]

Step-by-step explanation:

The inverse of a given function f(x) is also a function if the function is one and one.

a)

[tex]f(x)=\dfrac{|x+3|}{5}[/tex]

As we know that the modulus function is not one-one.

Hence, the inverse of this function is not a  function.

b)

[tex]f(x)=x^5-3[/tex]

We know that a odd-degree polynomial is always one-one.

Hence, the inverse of this function is also a function.

c)

[tex]f(x)=\dfrac{x^4}{7}+27[/tex]

The even degree polynomial is not a one-one function.

Hence, it's inverse is not a function.

d)

[tex]f(x)=\dfrac{1}{x^2}[/tex]

We know that the graph of this function is not one-one and hence it's inverse is not a function.

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