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katrin2010 [14]
1 year ago
15

If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?

Mathematics
2 answers:
Daniel [21]1 year ago
8 0
The Answer is D. (3,3) :)
horsena [70]1 year ago
5 0

Answer:

\text{(3,3) is point of intersection of  } f^{-1}(x)=f(x)

Step-by-step explanation:

If f(x) and it's inverse function f^{-1}(x) plot on same coordinate plane.

Both graph intersect at line y=x because y=x is line of symmetry of inverse function.

Intersection of  f^{-1}(x) and f(x) would be x and y coordinate same.

Therefore, f^{-1}(x)=f(x)=x

We are given four options. Let we check each one.

Option 1: (0,-2)

x=0 and y=-2 , 0≠-2

This is false.

Option 2: (1,-1)  

x=1 and y=-1 , 1≠-1

This is false.

Option 3: (2,0)  

x=2 and y=0 , 2≠0

This is false.

Option 4: (3,3)  

x=3 and y=3 , 3=3

This is true.

Thus, (3,3) is point of intersection of f^{-1}(x)=f(x)

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Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She i
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4 0
1 year ago
Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i
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Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is \frac{2}{3} of Bianca's height plus 32 inches, so the equation is.

Meredith's height = \frac{2}{3}(Bianca\ height)+32

Substitute Meredith's height in above equation.

60=\frac{2}{3}x+32

Now we solve the above equation for x.

\frac{2}{3}x=60-32

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28 divided by 2.

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1 year ago
Daniel wants to predict how far he can hike based on the time he spends on the hike. He collected some data on
horsena [70]

Answer:

Daniel can read his data and refer to line as best line of fit and estimate an average per set of hours.

Step-by-step explanation:

A line of fit draws a solid conclusion to the average for the hours spent during the amount of indicated hours. We draw a line of fit central fit and aim similar centrality as that similar results of the mean (without working out the mean we can draw a line perpendicular to the number of mean, but in line of fit we go central to all the descending or cascading results to include all results but just using one line), with one further consideration and that is balance if anything sticks out from the norm ie) weather conditions including data, we suggest if there is nothing to weigh the line of fit to a balancing outcome that shows the opposite of kilometres walked (eg. extreme higher mileage within the hour/s) then it may just alter the line a fraction of how many treks he did, but not in data less than 30 entries. Have attached an example where they classify in economics something outside the norm is called a misfit. Daniel can read his data and refer to line as best line of fit and estimate an average per set of hours. Here on the attachment you can read any misfit info and use the line coordination perpendicular to guide the indifference, the attachment shows it is not really included in the best line of fit as other dominating balances have occurred and therefore we have a misfit, all whilst using best line of fit to balance everything fairly.

7 0
2 years ago
Read 2 more answers
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