Question

Function a (b) relates the area of a trapeze with a given height of 14 and a base length of 5 with the length of its other base. it takes the other base value as input and returns the trapeze area as output. what equation below represents the inverse function b (a), which takes the trapeze area as input and returns the length of the other base as an output?

Answer 1

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

What is an area of a trapezoid?

The function of the trapezoid area exists:

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

where B exists the bases

h stands the height.

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

With the given data:

h = 14B and b =5 and x (it may vary which one exists bigger)

So that function becomes:

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

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

So if you want the inverse function, to find the value of x:

A(x) / 7 = 5 + x

A(x )/ 7 - 5 = x

Therefore, the function accepts the trapezoid's area as input and returns as output the length of the other base exists A(x)/7-5=x.

To learn more about the area of the trapezoid refer to:

brainly.com/question/4302947

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