Answer:
To find the inverse of:
Set the function to y:
Rearrange to make x the subject:
Swap x and y:
Change y to the inverse of the function sign:
Rewrite g(x) as a fraction:
Therefore, as the inverse of f(x) ≠ g(x), the functions are NOT inverses of each other
That's a trapezoid,
Answer: 32
But say we didn't know the formula. We can chop out the 4 by 4 square and we have two 45/45/90 triangles side 4 left over, so two 4 by 4 squares,
A = 2(4)(4) = 32
We can think of this as 12 by 4 rectangle with two 4 by 4 right triangles chopped out:
A = 12(4) - 2(1/2)(4)(4) = 48 - 16 = 32
