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Which two functions are inverses of each other?
Of(x) = x, g(x) =-x
Ax) = 2x, g(x)
Ax) = 4x g(x) =
Ax) = -8x, g(x) = 8x

Respuesta :

Answer:

The choices were typed wrong, but we can find the inverse of each option.

For function [tex]f(x)=x[/tex] the inverse is the same function [tex]g(x)=x[/tex], because an inverse of a function is where their composition gives the independent variable as unique result.

If we do that with each function, we have:

[tex]f((g(x))=x[/tex]; where [tex]f(x)=x[/tex] and [tex]g(x)=x[/tex], we have

[tex]f((g(x))=x\\x=x[/tex]

So they are inverse.

For [tex]f(x)=2x[/tex] its inverse would be [tex]g(x)=\frac{1}{2}x[/tex], because

[tex]f(g(x))=2(\frac{1}{2}x)=x[/tex]

For [tex]f(x)=4x[/tex], its inverse is [tex]g(x)=\frac{1}{4}x[/tex], because

[tex]f(g(x))=4(\frac{1}{4}x)=x[/tex]

For [tex]f(x)=-8x[/tex], its inverse is [tex]g(x)=-\frac{1}{8}x[/tex], because

[tex]f(g(x))=-8(-\frac{1}{8}x)=x[/tex]

There you have all inverses. Basically, if their composition results in [tex]x[/tex], that means they are inverse.

reannareyes12345

Answer:

i think its C on EDG 2020

Step-by-step explanation:

4x and 1/4

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