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Test: Inverse Functions - Class 10 MCQ


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10 Questions MCQ Test The Complete SAT Course - Test: Inverse Functions

Test: Inverse Functions for Class 10 2024 is part of The Complete SAT Course preparation. The Test: Inverse Functions questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Inverse Functions MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Inverse Functions below.
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Test: Inverse Functions - Question 1

The solution to f(x) = f -1(x) are __________

Detailed Solution for Test: Inverse Functions - Question 1

Inverse of a function is the mirror image of function in line y = x.

Test: Inverse Functions - Question 2

If f is a function defined from R to R, is given by f(x) = x2 then f -1(x) is given by?

Detailed Solution for Test: Inverse Functions - Question 2

It is not a one one function hence Inverse does not exist.

Test: Inverse Functions - Question 3

For some bijective function inverse of that function is not bijective.

Detailed Solution for Test: Inverse Functions - Question 3

If f(x) is a bijection than f -1(x) is also a bijection.

Test: Inverse Functions - Question 4

A function f(x) is defined from A to B then f -1 is defined __________

Detailed Solution for Test: Inverse Functions - Question 4

Inverse associate each element in B with corresponding element in A.

Test: Inverse Functions - Question 5

For an inverse to exist it is necessary that a function should be __________

Detailed Solution for Test: Inverse Functions - Question 5

Inverse exist only for those functions which are one one and onto.

Test: Inverse Functions - Question 6

Let f(x) = x then number of solution to f(x) = f -1(x) is zero.

Detailed Solution for Test: Inverse Functions - Question 6

Since inverse of a function is the mirror image of function in line y = x, therefore in this case infinte solution will exist.

Test: Inverse Functions - Question 7

For any function f of -1(x) is equal to?

Detailed Solution for Test: Inverse Functions - Question 7

Compostion of a function with its inverse gives x.

Test: Inverse Functions - Question 8

f(x) is a bijection than f -1(x) is a mirror image of f(x) around y = x.

Detailed Solution for Test: Inverse Functions - Question 8

Inverse of a function is the mirror image of function in line y = x.

Test: Inverse Functions - Question 9

If f is a function defined from R to R, is given by f(x) = 3x – 5 then f –1(x) is given by __________

Detailed Solution for Test: Inverse Functions - Question 9

y = 3x - 5, x = (y + 5)/3, f -1(x) = (x + 5)/3.

Test: Inverse Functions - Question 10

If f(x) = y then f-1(y) is equal to __________

Detailed Solution for Test: Inverse Functions - Question 10

On giving inverse, image the function returns preimage thus f-1 (y) = x.

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