Question

The function a(b) relates the area of a trapezoid with a given height of 12 and

Answer 1

The inverse function of $A(b) = 12 \cdot \frac{b + 9}2$ is b(a) = a/6 - 9

How to determine the inverse function?

The function is given as:

$A(b) = 12 \cdot \frac{b + 9}2$

Divide 12 by 2

$A(b) = 6 \cdot (b + 9)$

Rewrite the function as

$a = 6 \cdot (b + 9)$

Divide both sides by 6

a/6 = b + 9

Subtract 9 from both sides

b = a/6 - 9

Express as a function

b(a) = a/6 - 9

Hence, the inverse function of $A(b) = 12 \cdot \frac{b + 9}2$ is b(a) = a/6 - 9

Read more about trapezoid at

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