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ololo11 [35]
2 years ago
6

Determine the inverse of the function f (x) = 4(x − 3)2 + 2. inverse of f of x is equal to 3 minus the square root of the quanti

ty x over 4 minus 2 end quantity such that the domain of f (x) is x ≤ 3 inverse of f of x is equal to 3 minus the square root of the quantity x over 4 minus 2 end quantity such that the domain of f (x) is x ≥ 3 inverse of f of x is equal to 3 minus the square root of the quantity of the quantity x minus 2 end quantity over 4 end quantity such that the domain of f (x) is x ≤ 3 inverse of f of x is equal to 3 minus the square root of the quantity of the quantity x minus 2 end quantity over 4 end quantity suchsuch that the domain of f (x) is x ≥ 3
Mathematics
1 answer:
Elodia [21]2 years ago
4 0

The inverse of the function f(x)  = 4(x-3)² + 2 is f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

The given function is:

f(x)   =  4(x  - 3)²  +  2

To find the inverse of the function:

Make x as the subject of the formula

4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3

Replace x by f^{-1}(x) and replace f(x) by x

f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

Therefore, the inverse of the function is:

f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3

Learn more here: brainly.com/question/17285960

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A newspaper article claimed: "the average cost of weekly groceries is $124.50." what statistical measurement are they most likel
Scilla [17]

The average cost of weekly groceries exists at $124.50." The statistical measurement exists they most probably claim exists mean.

<h3>What is mean?</h3>

The arithmetic mean of a given data exists as the totality of all observations divided by the number of observations.

For instance, a cricketer's scores in five ODI matches exist as follows:

12, 34, 45, 50, 24.

To estimate his average score in a match, we compute the arithmetic mean of data utilizing the mean formula:

Mean = Sum of all observations/Number of observations

Median

The value of the middlemost observation, acquired after organizing the data in ascending or descending order, exists named the median of the data.

For instance, consider the data: 4, 4, 6, 3, 2. Let's organize this data in ascending order: 2, 3, 4, 4, 6. There exist 5 observations.

Therefore, median = middle value i.e. 4.

Mode

The value which occurs most often in the provided data i.e. the observation with the highest frequency exists named a mode of data.

As per the circumstances we have given the average cost of groceries.

The mean exists also the average sum of data divided by the total number of data.

Therefore, the statistical measurement exists as the mean.

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3 0
1 year ago
NEED HELP ASAP!!!
Sergeeva-Olga [200]

Answer:

(b) P(\textrm{Event of getting a 3 in the spinner)}  =  \frac{11}{61}

Step-by-step explanation:

Let E: Event of getting a 3 in the spinner.

So, the number of favorable outcomes  =  11

Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}

= {13 +10 +11+16+11}  = { 61}

So, the total number of outcomes = 61

\textrm{Probability of Event E}  = \frac{\textrm{Number of favorable events}}{\textrm{Total number of outcomes}}

So, here P(\textrm{Event of getting a 3 in the spinner)}  =  \frac{11}{61}

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3 years ago
Which point is a reflection of Z(5 1/2,3) across the y axis
RSB [31]

Answer: C?

Step-by-step explanation:

Because reflecting means like think of a mirror it’s reflecting you so the opposite side would be the bottom right quadrant please tell me if I’m right?

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3 years ago
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