JEE Main questions
34495 published questions with worked solutions.
- Let f(x)= ax+b cx+d . Then f f(x)=x provided that
- Let f:[4, ) [4, ) be defined by f(x)=5^ x(x-4) . Then f^ -1 (x) is
- If f(x)= 1-x 1+x (x -1), then f^ -1 (x) equals
- If f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then f(x) is
- The graph of the function y=f(x) is symmetrical about the line x=2, then
- If the function f:[1, ) [1, ) is defined by f(x)=2^ x(x-1) , then f^ -1 (x) is
- If a function F is such that F(0)=2, F(1)=3 and F(n+2)=2F(n)-F(n+1) for n 0, then F(5) is equal to
- The inverse of the function y= 10^x-10^ -x 10^x+10^ -x is
- If f:R R is defined by f(x)=|x|, then
- If f:R R is defined by f(x)= x and g:(1, ) R is defined by g(x)= x^2-1 , then g f(x) is
- The function f:C C defined by f(x)= ax+b cx+d for x C, where bd 0, reduces to a constant function if
- If f:R R is defined by f(x)=x^2-6x-14, then f^ -1 (2) equals
- Let a and b be two integers such that 10a+b=5 and P(x)=x^2+ax+b. The integer n such that P(10) P(11)=P(n) is
- Let f:(2,3) (0,1) be defined by f(x)=x-[x], then f^ -1 (x) equals
- If f is a polynomial such that f(x) f ( 1x )=f(x)+f ( 1x ) and f(4)=65, then f(6) is
- If f:R R is defined by f(x)=x^3, then f^ -1 (8) is equal to
- If f(x)= x x-1 , x 1, then (f f f)(x) (19 times) is equal to
- If f(0)=1, f(1)=5, f(2)=11, then the equation of the polynomial of degree two is
- The function f satisfies the functional equation 3f(x)+2f ( x+59 x-1 )=10x+30 for all real x 1. The value of f(7) is
- Let [x] denote the greatest integer x. If f(x)=[x] and g(x)=|x|, then the value of f (g ( 85 ) )-g (f (- 85 ) ) is