The inverse of function f(x) = x/4 - 2 is:
f^(-1)(x) = 4(x + 2).
Option C is the correct answer.
We have,
To find the inverse of the function f(x) = x/4 - 2, we can follow these steps:
Step 1: Replace f(x) with y: y = x/4 - 2.
Step 2: Swap the variables x and y: x = y/4 - 2.
Step 3: Solve the equation for y.
Let's start by isolating y:
x = y/4 - 2
x + 2 = y/4 (Adding 2 to both sides)
4(x + 2) = y (Multiplying both sides by 4)
So, the inversefunction is y = 4(x + 2).
However, it's common to write the inversefunction with the variable x instead of y.
Therefore,
The inverse of function f(x) = x/4 - 2 is:
f^(-1)(x) = 4(x + 2).
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50/2.5=20
20 is your unit rate
4x + 10 = -26
x=
Answer:
x=-9.........
Step-by-step explanation:
.......
Answer:
x = -4/3
Step-by-step explanation:
2(x-1) +3(1-2x) = 5-x
Distribute
2x-2 +3 -6x = 5-x
Combine like terms
-4x +1 = 5-x
Add 4x to each side
-4x+4x +1 = 5-x+4x
1 =5+3x
Subtract 5 from each side
1-5 =5-5 +3x
-4 = 3x
Divide each side by 3
-4/3 = 3x/3
-4/3 =x
Answer:
1-5 =5-5 +3x
-4 = 3x
Divide each side by 3
-4/3 = 3x/3
-4/3 =x
Step-by-step explanation:
The standarderror for the sample proportion 0.3995.
The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
given:
n= 200
and possible outcomes= 80
Standard deviation = √(80²/200)= 5.65
Now, standard error = / √n
= 5.65/√200
= 0.3995
Hence, the standard error for the sample proportion 0.3995.
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Answer:
Step-by-step explanation:Consider the quadratic function f(x) = x2 – 5x + 6.
What are the values of the coefficients and constant in the function?