Inverse, baseically
replace f(x) with y
switch all x and y
solve for y
replace y with f⁻¹(x)
f(x)=6(x+2)-3
replace with y
y=6(x+2)-3
switch x and y
x=6(y+2)-3
solve for y
x=6y+12-3
x=6y+9
minus 9
x-9=6y
divide 6
1/6x-3/2=y
replace
f⁻¹(x)=1/6x-3/2
when x=21
f⁻¹(21)=1/6(21)-3/2
f⁻¹(21)=21/6-3/2
f⁻¹(21)=21/6-9/6
f⁻¹(21)=12/6=
f⁻¹(21)=2
answer is f⁻¹(21)=2
inverse function is
f⁻¹(x)=1/6x+3/2
Answer:
The final step in determining the volume of the pyramid is V = one-third (30) (12).
Step-by-step explanation:
Given : Abdul started solving for the volume of the pyramid using the steps below. V = one-third B h
A rectangular pyramid with a base of 10 meters by 3 meters and a height of 12 meters.
To find : What is the final step in determining the volume of the pyramid?
Solution :
The volume of pyramid is V = one-third B h
The base is B=(3) (10) = 30 meters squared
The height is h=12 meters
Substitute the value,
V = one-third (30) (12)
Therefore, the final step in determining the volume of the pyramid is V = one-third (30) (12).
So, option 1 is correct.
Answer:
20.5
Step-by-step explanation:
solution here
hypoteneous=c
perpendicular = 15
Base = 14
now
h^=p^+b^
H^=15^+14^
H^=225+196
H^=421
H=square root 421
H= 20.5