Answer:
Step-by-step explanation:
Given function,
Step 1 : Replace g(x) by y:
Step 2 : Swap x and y:
Step 3 : Solve the equation for y ( isolate y in the left side ):
Step 4: Replace y by :
Hence, the inverse of the function g(x) is .
Answer:
Account 1 yields greater return.
Step-by-step explanation:
Lets solve for the first formula:
First, change 6.5% into a decimal:
6.5% -> -> 0.065
Now, plug in the values for Account 1:
<u>Now solve for Account 2:</u>
Change 6% into a decimal:
6% -> -> 0.06
Now plug in the values:
Account 1 yields better money after 10 years.
g(θ) = 20θ − 5 tan θ
To find out critical points we take first derivative and set it =0
g(θ) = 20θ − 5 tan θ
g'(θ) = 20 − 5 sec^2(θ)
Now we set derivative =0
20 − 5 sec^2(θ)=0
Subtract 20 from both sides
− 5 sec^2(θ)=0 -20
Divide both sides by 5
sec^2(θ)= 4
Take square root on both sides
sec(θ)= -2 and sec(θ)= +2
sec can be written as 1/cos
so sec(θ)= -2 can be written as cos(θ)= -1/2
Using unit circle the value of θ is
sec(θ)= 2 can be written as cos(θ)=1/2
Using unit circle the value of θ is
For general solution we add 2npi
So critical points are