Answer: inverse of given function = log(x)/log(3)
Step-by-step explanation: how to find the inverse of any function?
in the complete function, replace y with "x" and x with "y"then, solve the obtained equation from step 2 for yand, then the value obtained for "y" is the inverse required i.e. = f^{-1}(x)
now, we solve the problem:
given : - y = 3^x
replacing the value of "y" with "x", we get,
x = 3^y
to solve for "y" we should take the "logarithm" for both sides
log (x) = y log(3)
or y = log(x)/log(3)
or f^(-1) (x) = log(x)/log(3)
( I hope this helped <3 )
Answer:
The width of lot B is 11 feet, so option A is correct.
Step-by-step explanation:
Given:
- Two rectangular properties share a common side.
- Lot A is 33 feet wide and 42 feet long.
- The combined area of the lots = 1,848 square feet.
To find:
How many feet wide is Lot B?
Solution:
we know that, area of a rectangle is length x breadth
Then area of lot A = 33 x 42 = 1386 square feet.
And area of lot B = width x 42
Now, we are given that, total area = 1848
area of lot A + area of lot B = 1848
1386 + width x 42 = 1848
width x 42 = 1848 – 1386
width x 42 = 462

width = 11
Hence, the width of lot B is 11 feet, so option A is correct.
The are of a rectangle is calculated by multiplying the length and the width of the shape. First, we determine the dimensions of this figure. We do as follows:
Width = 12 - 2x - 2x = 12 - 4x
Length = 12 - x - x = 12 - 2x
Area = (Length)(Width)
Area = (12 - 2x )(12-2x)
Answer:
3 3/8
Step-by-step explanation:
y×(2/3)=2.25 (the same as 2 1/4)
÷2/3. ÷2/3
y=3.375
3 3=8 gallons
more of break down:
y×2/3=9/4
÷2/3 or ×3/2
y= 9. 3. 27
--- × ---- = ----- = 3 3/8
4. 2. 8
If it takes yards and turns it into feet then it just multiplies it by 3
so if the input is 10.5 then you just multiply it by three
31.5 feet is the imput