The table below shows some inputs and outputs of the invertible function f with domain all real numbers.

x | 14 | -6 | -1 | 10 | -10 | 3
f(x) | 7 | -10 | -15 | 14 | -4 | -9

Find the following values:

f^-1(f^-1(7)) = ?
f^-1(-4) = ?

Answer for the first box = 10

Answer for the second box =  -10

======================================================

Work Shown:

f(x) is a function where we plug in the given row of x values to have them lead to the corresponding f(x) values in the table. We see that x = 14 leads to y = f(x) = 7. Going backwards, we can say . The inverse simply undoes everything f(x) does.

So,

For the portion , look at the column that has x = 10. This shows it leading to f(x) = 14. You trace this column upward to go backward to undo f(x).

------------------------------

That takes care of the first part. The second part is pretty much the same idea. We locate where -4 is in the bottom row, and then we write down the corresponding x value.

We see that y = -4 pairs with x = -10, which is why

-----------------------------

Keep in mind that this function must be one-to-one for the inverse to exist. If not, then you'll have to do some kind of domain restriction.

answer: a.   one is a factor of every whole number since every number is divisible by itself.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)