Relations and Functions Test

Result

Relations and Functions Test - 6

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

A condition for a function y = f (x) to have an inverse is that it should be,

A
defined for all x

B
strictly monotone and continuous in the domain

C
continuous every where

D
an even function

Solution

By theorem, A continous and strictly monotomic function si invertible and the inverse function is also continuous.
Question 2
1 / -0

Find the on. of injective functions from set A with elements to set B with 4 elements.

A
144

B
12

C
64

D
24

Solution

We know that if A and B are two sets having m and n elements respectively such that m ⩽ n, then total number of injective from A to B is ⁿC_m× m!

Here, n = 4, m = 3

∴ no. of injective =⁴C₃× 3! = 4 × 6 = 24