Given the function:
Let's find the amplitude and period of the function.
Apply the general cosine function:
Where A is the amplitude.
Comparing both functions, we have:
A = 1
b = 4
Hence, we have:
Amplitude, A = 1
To find the period, we have:
Therefore, the period is = π/2
The graph of the function is shown below:
The parent function of the given function is:
Let's describe the transformation..
Apply the transformation rules for function.
We have:
The transformation that occured from f(x) = cosx to g(x) = cos4x using the rules of transformation can be said to be a horizontal compression.
ANSWER:
Amplitude = 1
Period = π/2
Transformation = horizontal compression.
Answer:
Step-by-step explanation:
Given the following simplified expressions:
4√3, 3 3√2, 2 3√3, 3√5
It's radical equivalent is :
4√3 = √4² * √3 = √16 * √3 = √16*3 = √48
3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18
2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27
3√5 = √3² * √5 = √9 * √5 = √9*5 = √45
Answer:
f^-1(x) = -1/8x +1/4
Step-by-step explanation:
To find the inverse of a function
Exchange x and y and then solve for y
y =-8x+2
Exchange x and y
x = -8y+2
Now solve for y
Subtract 2 from each side
x-2 = -8y+2-2
x-2 = -8y
Divide by -8
(x-2)/-8 = -8y/-8
Distribute
-1/8x +1/4 = y
f^-1(x) = -1/8x +1/4
Answer: n = -25
Step-by-step explanation:
you would need to get N by itself so you would subtract 2n from both sides and that would bring you to n+75=50 and then you would need to subtract 75 from both sides and that leads you to n=-25
Answer:
You could answer this two ways.
Step-by-step explanation:
Method 1: Set up proportion
x/40=55/100
Cross-multiply and you will get..
2200=100x
x=22
Method 2: Use decimals
As we saw in the first method, 55 percent is equal to 55/100. 55/100 is equal to 0.55.
You can multiply 0.55 and 40 to get the answer as well.
0.55 times 40 is 22.
Hope this explanation helped! ☺️
