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katrin2010 [14]
2 years 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]2 years ago
8 0
The Answer is D. (3,3) :)
horsena [70]2 years 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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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

There are two operations involved:

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Firdavs [7]

Answer:

C. Both (1, 11) and (-1, -5)

Step-by-step explanation:

The missing options are:

<em> A. Only (1, 11) </em>

<em>B. Only (-1, -5)  </em>

<em>C. Both (1, 11) and (-1, -5) </em>

<em>D. Neither </em>

To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.

Replacing x = 1, we get:

y = 8(1) + 3

y = 11

then (1, 11) is a solution

Replacing x = -1, we get:

y = 8(-1) + 3

y = -5

then (-1, -5) is a solution

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Step-by-step explanation:

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