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stellarik [79]
3 years ago
5

Plz help!!!

Mathematics
2 answers:
Harman [31]3 years ago
7 0

we know that f(1)=2 so f^-1(2)=1

so B is correct!

Sholpan [36]3 years ago
4 0

Answer:  The correct option is

(B) f^{-1}(x)=\dfrac{1}{x-1}.

Step-by-step explanation:  We are given to select the correct expression that is the inverse of the following function :

f(x)=\dfrac{x+1}{x}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let y denotes f(x). Then,

y=f(x)~~~~~~\Rightarrow x=f^{-1}(y).

Substituting this value in equation (i), we get

f(x)=\dfrac{x+1}{x}\\\\\\\Rightarrow y=\dfrac{f^{-1}(y)+1}{f^{-1}(y)}\\\\\\\Rightarrow yf^{-1}(y)=f^{-1}(y)+1\\\\\Rightarrow yf^{-1}(y)-f^{-1}(y)=1\\\\\Rightarrow (y-1)f^{-1}(y)=1\\\\\Rightarrow f^{-1}(y)=\dfrac{1}{y-1}\\\\\Rightarrow f^{-1}(x)=\dfrac{1}{x-1}.

Thus, the required inverse of the given function is

f^{-1}(x)=\dfrac{1}{x-1}.

Option (B) is CORRECT.

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The giving functions are from dofferent types. transforming a function does not change it's type so it is impossible to transfer f(x)=2 to f(x)=(x-3)^2-1.
5 0
3 years ago
Could 10.6\text{ cm}, 5.6\text{ cm},10.6 cm,5.6 cm,10, point, 6, space, c, m, comma, 5, point, 6, space, c, m, comma and 4.0\tex
vladimir1956 [14]

Since we know that triangle inequality theorem states that sum of any two sides of a triangle must be greater than third side.

Now let us see if it is true for our given side lengths.

10.6+5.6>4.0

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Now let us try with another pair.

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9.6

We can see that sum of 5.6 and 4 is less than 10.6. Therefore, 10.6 cm, 5.6 cm and 4.0 cm can not be side lengths of a triangle.

7 0
3 years ago
Read 2 more answers
Mr. Eanes spent $205.60 at Target. There was a 15% off sale. How much discount did he get?
mojhsa [17]

Answer:

$174.76

Step-by-step explanation:

205.60                     205.60

x 0.15        ---->        - 30.84

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Hope this helped!

8 0
3 years ago
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Help thank u!
riadik2000 [5.3K]

Answer:

133

Step-by-step explanation:

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3 years ago
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Anna007 [38]

Step-by-step explanation:

according to question triangle is concurrent so two traingle= 1rectangle

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4 0
3 years ago
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