Step-by-step explanation:
I will do the first one as an example.
To find the inverse of y = f(x), simply switch x and y, then solve for y.
y = 3 + 2 ln x
x = 3 + 2 ln y
x − 3 = 2 ln y
(x − 3) / 2 = ln y
y = e^((x − 3) / 2)
So the inverse function is:
f⁻¹(x) = e^((x − 3) / 2)
The original function told us the amount of water as a function of time.
The inverse function tells us the time as a function of the amount of water.
X - 5
Y - 7
That is the answer hope this helps !
Answer:
-120 is a negative and 400 is a positive
Step-by-step explanation:
also there is a 520 difference
<span>4x + 3y = 16
7x + 6y = 31
Note what happens if we mult. the first eqn. by -2:
-8x - 6y = -32
Combining this with the 2nd equation eliminates the variable y:
</span>-8x - 6y = -32<span>
7x + 6y = 31
--------------------
-x = -1, or x = 1. Sub 1 for x in either of the 2 given eqns to find y:
For example: 4(1) + 3y = 16, so 36 = 12, and y = 3. Sol'n is (1,3).</span>