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Question 1

Find the number of solutions of x

Question 2

f(x) = (1/2) - tan(πx/2), -1<x<1 and g(x)=√(3+4x-4x²). Find the domain of (f+g).

Question 3

Find the Domain of the function f(x)= log (x² – 5x + 6)

Question 4

The minimum value of the function
f(x) = 2|x – 1| + |x – 2| is

Question 5

The number of integers 'n' for which 3x³ - 25x + n=0 has three real roots is

Question 6

If function

; (– 1 < x < 1) and

, then the domain of gof is

Question 7

If g{f(x)} =|sin x| and f(g(x))=(sin√x)², then

Question 8

If g:R

R is a mapping such that g(x) = 9x +4, ∀x ∈R, then g^-1(7) is

Question 9

The domain of f(x)=sin^-1 $Description: E:\KCET-1-Feb\KARNATAKA-CET-2011_files\image495.png$ is

Question 10

If A = [1, 2, 3, 4], B = [1, 2, 3, 4, 5, 6] are two sets, and function f : A → B is defined by f(x) = x + 2 $Description: E:\WBJEE\WBJEE-2010_Mathematics_files\image084.png$ A, then the function f is

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Feb 1JEE & BITSAT