The area of rectangle:
11 ft · 6 ft = 66 ft²
The area of triangle:
6 ft · 4 ft/2 = 6 ft · 2 ft = 12 ft²
The area of the shaded region:
66 ft² - 12 ft² = 54 ft²
Whenever you can invert a function, you have that the graphs of and its inverse are reflected with respect to the line
So, given any point on the graph of , you can simply swap its coordinates to get the correspondent point on the original function
As an example, all exponential functions pass through the point , while all the logarithmic functions pass through the point