Properties of Inverse Function

Q.

Question 104

Find the multiplicative inverse of $(-7{)}^{-2}÷(90{)}^{-1}$.

Q. The equation 2x + y = 4 has a unique solution if x and y are

समीकरण 2x + y = 4 का एक अद्वितीय हल है यदि x व y हैं

1. Whole numbers
   
   पूर्ण संख्याएँ
   
2. Non-positive integers
   
   अ-धनात्मक पूर्णांक
   
3. Real numbers
   
   वास्तविक संख्याएँ
   
4. Natural numbers
   
   प्राकृत संख्याएँ
   

Q.

Question 64

Fill in the blanks to make the statement true.

$(-225)÷5=$ ___

Q.

If a function is defined such that its inverse exists then the domain of the function becomes the range of the inverse function

1. True

2. False

Q.

If a function f(x) is defined on [1, 4] $\to$ [1, 7] and given that f(3) = 5 and its inverse exists then find $f\left(f^{-1}\right(5\left)\right)$.

__

Q.

If a function f(x) is defined on [1, 4] $\to$ [1, 7] and given that f(3) = 5 and its inverse exists then find $f^{-1}$ ( f (5) ).

1. 3

2. 5

3. 7

4. Not defined

Q.

Choose the correct answer $\mathrm{x}(2\mathrm{x}-\frac{1}{2\mathrm{x}})-2\mathrm{x}(\mathrm{x}-\frac{1}{\mathrm{x}})$equals:

1. $-\frac{3}{2}$

2. $\frac{3}{2}$

3. $0$

4. $1$

Q.

The inverse function of $f^{-1}\left(x\right),if{f}^{-1}\left(x\right)existsisf\left(x\right)$

1. True

2. False