The function A(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. A(b)=14*(b+5/2) 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?

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Answer:

The answer is B(a) = a/7 - 5



Step-by-step explanation:


The function takes the trapezoid's area as input and returns as output the length of the other base is A(x)/7-5=x.

What is area of trapezoid?

The function for the trapezoid area is:

A(x)=(B+b)*h/2

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

What is the output length of the other base?

Given height of 14 and one base length of 5 with the length of its other base

With the given data: h=14 B and b =5 and x (it may vary which one is bigger)

So that function becomes:

A(x)=(5+x)*14/2

A(x)=(5+x)*7

So if you want the inverse function, you have to operate to find x:

A(x)/7=5+x

A(x)/7-5=x

Learn more about area of trapezoid here: https://brainly.com/question/4302947

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