Answer:
<u>20 cubic feet</u>
Step-by-step explanation:
First divide the figure into 3 rectangular prisms like in the screen shot provided below.
Volume of the prism on the left:
l×w×h=v
1×2×3=6 cubic feet
Since the volume of the right prism and the left prism are the same, we can multiply the volume (6cubic feet) by 2. Therefore, the volume of both the prisms outlined in purple is 12 cubic feet.
Volume of the rectangular prism in the middle:
2×1×(7-3)
2×1×4=8 cubic feet
Now we add all the volumes together:
8+12=20 cubic feet.
Hope this helps! :)
f(x) = 3x - 1/2
is the inverse of f(x). Let y = f(x)
y = 3x - 1/2
To find the inverse function, replace y with x and x with y
x = 3y - 1/2
After solving and simplifying the equation for y, you will get the following equation
y = x/3 + 1/6
This is the inverse of f(x). Now, substitute x = 4
y = 4/3 + 1/6
= 8/6 + 1/6
= 9/6
= 3/2
That should be your answer. Let me know if you need any clarifications, thanks!