The graph below shows two linear functions.
which explanation could be used to verify whether the
functions are inverses?
neither of the lines is parallel to the line y=x, therefore,
the functions are inverses of each other
neither of the lines is parallel to the line y=x, therefore,
the functions are not inverses of each other.
the point of intersection of the two functions is not on
the line y=x, therefore, the functions are inverses of
each other
the point of intersection of the two functions is not on
the line y=x, therefore, the functions are not inverses of
each other

Check below

Step-by-step explanation:

Graphically

1)Firstly, It's necessary to have the graph attached or at least the functions. After some searches, this question was not found.

2) A function has its invertibility checked by simply passing on the horizontal line test. In other words, if the function graph is hit only once then its inverse, is a an inverse function.

3)This is because, only one-to-one functions, i.e. injective functions are invertible.

In this case we have a pair of functions:

1) Check individual functions

2) Pass a (horizontal) line parallel to the x-axis

3) if this line hits only once then it is invertible.

Algebraically:

If you want it algebraically do it f(g(x))

If f(g(x))=g(f(x)) they are invertible.

The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.