Question

Which two functions are inverses of each other?

Answer 1

Answer:

i think its C on EDG 2020

Step-by-step explanation:

4x and 1/4

Answer 2

Answer:

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

For function $f(x)=x$ the inverse is the same function $g(x)=x$, 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:

$f((g(x))=x$; where $f(x)=x$ and $g(x)=x$, we have

$f((g(x))=x\\x=x$

So they are inverse.

For $f(x)=2x$ its inverse would be $g(x)=\frac{1}{2}x$, because

$f(g(x))=2(\frac{1}{2}x)=x$

For $f(x)=4x$, its inverse is $g(x)=\frac{1}{4}x$, because

$f(g(x))=4(\frac{1}{4}x)=x$

For $f(x)=-8x$, its inverse is $g(x)=-\frac{1}{8}x$, because

$f(g(x))=-8(-\frac{1}{8}x)=x$

There you have all inverses. Basically, if their composition results in $x$, that means they are inverse.