Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and 
Step-by-step explanation:
Data provided in the question
f(x) = e^2x - 4
Now
to find the inverse let
So,
y = e^2x - 4
Now
Replace x and y
Therefore
x = e^2y - 4
Now compute the value of y
So,
x + 4 = e^2y
Now take ln on both sides:
The equation is
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
y = ln(x+4) ÷ 2

Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and 
Answer:
If 50.24cm = Circumference
Radius = 8cm
If 50.24cm^2 = Area
Radius = 4cm
Step-by-step explanation:
50.24cm what? Circumference? Area?
π = 3.14
2πr = Circumference
50.24 / 2π = r
r = 8
πr^2 = Area
50.24 / π = r^2
r^2 = 16
r = 4
Answer: 4.5 looks the most reasonable to me.
Step-by-step explanation:
Hello there!
How are you doing today? I hope you are doing at least "okay".
g(x) = x³ + 2x² - x - 2
To find the zeros or the roots of a function, you need to set the function equal to 0 then solve for x.
x³ + 2x² - x - 2 = 0
Factor left side of the equation
(x + 1)(x - 1)(x + 2) = 0
Now we can set factors equal to 0
x + 1= 0 or x - 1 = 0 or x + 2 = 0
x= 0 - 1 or x = 0 + 1 or x= 0 - 2
x= -1 or x = 1 or x = -2
Thus,
The roots or the zeros of the function are:
-2, -1, 1
As always, it is my pleasure to help students like you!