Discrete Mathematics Questions and Answers – Inverse of a Function

This set of Discrete Mathematics Questions and Answers for Entrance exams focuses on “Inverse of a Function”.

1. For an inverse to exist it is necessary that a function should be __________
a) injection
b) bijection
c) surjection
d) none of the mentioned
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2. If f(x) = y then f^-1(y) is equal to __________
a) y
b) x
c) x²
d) none of the mentioned
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3. A function f(x) is defined from A to B then f ^-1 is defined __________
a) from A to B
b) from B to A
c) depends on the inverse of function
d) none of the mentioned
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4. If f is a function defined from R to R, is given by f(x) = 3x – 5 then f ^–1(x) is given by __________
a) 1/(3x-5)
b) (x+5)/3
c) does not exist since it is not a bijection
d) none of the mentioned
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5. For some bijective function inverse of that function is not bijective.
a) True
b) False
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6. f(x) is a bijection than f ^-1(x) is a mirror image of f(x) around y = x.
a) True
b) False
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7. If f is a function defined from R to R, is given by f(x) = x² then f ^-1(x) is given by?
a) 1/(3x-5)
b) (x+5)/3
c) does not exist since it is not a bijection
d) none of the mentioned
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8. For any function fof ^-1(x) is equal to?
a) x
b) 1
c) x²
d) none of the mentioned
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9. The solution to f(x) = f ^-1(x) are __________
a) no solutions in any case
b) same as solution to f(x) = x
c) infinite number of solution for every case
d) none of the mentioned
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10. Let f(x) = x then number of solution to f(x) = f ^-1(x) is zero.
a) True
b) False
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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