Inverse Questions and Answers

Inverse Questions and Answers in Aptitude

The Inverse is known as a function, which opens the act of some other function. ‘g’ is called the inverse of function f if where ever ‘y = f(x)’ then, ‘x = g(y): It can also be written in the term of the arrangement of  ‘f ‘ and ‘g’ as ‘g(f(x)) = x.’

A function ‘f’ includes an inverse function only when every ‘y’ is available in its range. There is the only available value of ‘x’ in its domain for which ‘f(x)=y: The function of inverse is unique and is symbolized as f^{-1} and is known as “f inverse.”

Inverse Questions and Answers

Rules of Inverse 

  • Inverse functions are one to one functions.
  • If the function f(x) = x^2, then it does not have an inverse function. It can be easily understood with the example, f^{-1} (4) could be written as f^{-1} (4) = 2, or it could also be written as f^{-1} (4) = -2
  • If the domain of ‘f’ is restricted to the negative or positive real number only, then its function will have an inverse.

Question 1

Time: 00:00:00
Find the inverse of the function f(x) = 4x +20

\frac{4x}{5}

\frac{4x}{5}

\frac{x}{20}

\frac{x}{20}

y= \frac{x-20}{4}

y= \frac{x-20}{4}

Not Determined

Not Determined

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Question 2

Time: 00:00:00
If f(x) = x + 12. Calculate the value of f^{-1} (x).

x-12

x-12

1

1

x-11

x-11

x

x

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Question 3

Time: 00:00:00
If g(x) = \frac{1}{2}x+ 4, find the value of g^{-1}(x)

x + 13

x + 13

2x -8

2x -8

x -2

x -2

None

None

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Question 4

Time: 00:00:00
Which of the following equation is true for inverse functions?

f^{-1}= (y) = x, if and only if f(x) = \frac{1}{y}

f^{-1}= (y) = x, if and only if f(x) = \frac{1}{y}

f^{-1}= (y) = x, if and only if f(x) = y

f^{-1}= (y) = x, if and only if f(x) = y

f^{-1} = (y) = x, if and only if f(x) = \frac{2}{y}

f^{-1} = (y) = x, if and only if f(x) = \frac{2}{y}

None of the above

None of the above

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Question 5

Time: 00:00:00
Inverse of 32x +5 will be

\frac{x-5}{32}

\frac{x-5}{32}

y = \frac{x-4}{32}

y = \frac{x-4}{32}

y = \frac{x-3}{32}

y = \frac{x-3}{32}

Cannot be determined

Cannot be determined

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Question 6

Time: 00:00:00
What will be the value of the inverse function (x + 3)4 = 8

-1

-1

2

2

10

10

Not Determined

Not Determined

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Question 7

Time: 00:00:00
Find the inverse of f(x) = 3x + 5

\frac{x-1}{2}

\frac{x-1}{2}

\frac{x-4}{2}

\frac{x-4}{2}

\frac{x-3}{2}

\frac{x-3}{2}

None of the above

None of the above

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Question 8

Time: 00:00:00
Calculate the inverse of the function f(x) = 27 - 4x

\frac{27-2x}{4}

\frac{27-2x}{4}

\frac{27-x}{4}

\frac{27-x}{4}

\frac{27-x}{2}

\frac{27-x}{2}

none

none

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Question 9

Time: 00:00:00
Let the inverse function of f be g and let us assume we know the following values of f

f(-1) = 0

f (0) =1

f(1) =2

Find the values of g (0) and g (1)

-1, 0

-1, 0

1, 1

1, 1

0, 0

0, 0

None of the above

None of the above

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Question 10

Time: 00:00:00
Calculate the value of the inverse function of x = \frac{1}{y}.

\frac{1}{y}

\frac{1}{y}

\frac{1}{x}

\frac{1}{x}

\frac{1}{2x}

\frac{1}{2x}

None

None

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Question 11

Time: 00:00:00
Find the inverse of the Function f(x) = 3x +9

\frac{x-7}{3}

\frac{x-7}{3}

\frac{x-9}{3}

\frac{x-9}{3}

\frac{x-6}{3}

\frac{x-6}{3}

\frac{x-8}{3}

\frac{x-8}{3}

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Question 12

Time: 00:00:00
If f^{-1}(x) = 4x+5 Find value of  f^{-1}(5)

24

24

25

25

23

23

21

21

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Question 13

Time: 00:00:00
What is the inverse function of Sin(x)?

cos^{-1}(x)

cos^{-1}(x)

sin^{-1}(x)

sin^{-1}(x)

tan^{-1}(x)

tan^{-1}(x)

cosec^{-1}(x)  

cosec^{-1}(x)  

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Question 14

Time: 00:00:00
What is the value of Sin^{-1}(\frac{1}{2})?

30\degree

30\degree

90\degree

90\degree

60\degree

60\degree

None

None

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Question 15

Time: 00:00:00
What is the inverse of Function y = 7x

\frac{1}{7}\times x

\frac{1}{7}\times x

\frac{1}{7}\times y

\frac{1}{7}\times y

7x

7x

None

None

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Question 16

Time: 00:00:00
f(x) = 2x and g(x) = 4x Find f(g(x))

8x^{2}

8x^{2}

5x^{2}

5x^{2}

7x^{2}

7x^{2}

2x^{2}

2x^{2}

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Question 17

Time: 00:00:00
What is the value of tan^{-1}(1)?

45\degree

45\degree

90\degree

90\degree

135\degree

135\degree

0\degree

0\degree

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Question 18