Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer:
C (-∞, ∞)
Step-by-step explanation:
For graphs like these this will always be the domain as its 'arms' will continue to go further in x values
Answer:
40
Step-by-step explanation:
area of shaded region = area of whole figure - area of non shaded region
area of whole figure: The whole figure is a rectangle
The area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 10ft and the given length is 8ft
Hence area of whole figure = 10 * 8 = 80ft²
Area of non shaded region: the non shaded region also creates a rectangle
Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length
The given width is 5ft and the given length is 8ft
Hence, area of non shaded region = 5 * 8 = 40ft²
Finally we can find the area of the shaded region.
We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure
If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40
Then, area of shaded region = 80 - 40 = 40ft²
Answer:
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