Which equation below represents the inverse function b(a) , which takes the trapezoid's area as input and returns as output the length of the other base?

Option C is correct answer.

Step-by-step explanation:

The area for the trapezoid is given as :

A=

where B and b are the bases and h is the height.  

The given height is : h=12 B and b =9

Function is :A(b)

This is simplified as A(b)=

A(b)=

Subtracting 54 from both sides we get : A(b)-54=6b

Now divide both sides by 6 we get : Option C or

Therefore, option C is the right answer.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)