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This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
Let f(x) = x then number of solution to f(x) = f -1(x) is zero. |
A. | True |
B. | False |
Answer» C. | |
2. |
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 |
Answer» C. infinite number of solution for every case | |
3. |
For any function fof -1(x) is equal to? |
A. | x |
B. | 1 |
C. | x<sup>2</sup> |
D. | none of the mentioned |
Answer» B. 1 | |
4. |
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 |
Answer» D. none of the mentioned | |
5. |
f(x) is a bijection than f -1(x) is a mirror image of f(x) around y = x. |
A. | True |
B. | False |
Answer» B. False | |
6. |
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 |
Answer» C. does not exist since it is not a bijection | |
7. |
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 |
Answer» C. depends on the inverse of function | |
8. |
If f(x) = y then f-1(y) is equal to __________ |
A. | y |
B. | x |
C. | x<sup>2</sup> |
D. | none of the mentioned |
Answer» C. x<sup>2</sup> | |