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JEE 2020 Mathematics : Mapping and Functions

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Question 1

Let Description: E:\KCET-1-Feb\KARNATAKA-PAPER-2015_files\image447.png be defined by Description: E:\KCET-1-Feb\KARNATAKA-PAPER-2015_files\image448.png, then f is____.

Question 2

If : Description: E:\KCET-1-Feb\KARNATAKA-PAPER-2015_files\image450.png is defined by Description: E:\KCET-1-Feb\KARNATAKA-PAPER-2015_files\image592.png, find Description: E:\KCET-1-Feb\KARNATAKA-PAPER-2015_files\image593.png.

Question 3

Which one of the following is not correct for the features of exponential function given by f(x) = bx where b > 1?

Question 4

The range of the function ƒ(x)=sin[x], Description: E:\KCET-1-Feb\Karnataka_CET2013_files\image549.png where [x] denotes the greatest integer less than or equal to x, is

Question 5

The set A = {x : Description: Description: image615.png} is equal to the set

Question 6

The smallest positive divisor greater than 1 of a composite number ‘a’ is

Question 7

Let R be the set of real numbers and the mapping f(x) = 5 - x2 and g(x) = 3x - 4, then the value of (fog) (-1) is

Question 8

The function
f(x) = secDescription: E:\WBJEE\WBJEE-2010_Mathematics_files\image086.png is

Question 9

The image of the interval [–1, 3] under is

Question 10

If f(x) = ax + b and g(x) = cx + d then f(g(x)) = g(f(x)) is equivalent to
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Jun 12JEE & BITSAT