For this case we must find the inverse of the following function:

We follow the steps below:
Replace f(x) with y:

We exchange the variables:

We solve for "y":

Multiply by -2 on both sides of the equation:

We raise both sides of the equation to the square to eliminate the radical:

We subtract 3 from both sides of the equation:

We change y by f ^ {- 1} (x):

Answer:
Answer: 390
Step-by-step explanation:
Answer:
8x + (6x + 6) = 90°
x = 6°
Step-by-step explanation:
because it is a right angle, the sum of the angles = 90°
8x + (6x + 6°) = 90°
simplify:
14x + 6° = 90°
subtract 6° from each side:
14x = 84°
divide both sides by 14:
x = 6°
C
explanation : the equation is division and since you don’t know what the variable x is, you multiply 3 and 12 to find x
If

is the amount of salt in the tank at time

, then the rate at which this amount changes over time is given by the ODE


We're told that the tank initially starts with no salt in the water, so

.
Multiply both sides by an integrating factor,

:




Since

, we have

so that the amount of salt in the tank over time is given by

After 10 minutes, the amount of salt in the tank is