Mathematics questions
18011 published questions with worked solutions.
- If the function f:R R is such that f(x)=x-[x], where [x] denotes the greatest integer less than or equal to x, then f^ -1 (x) is
- Let f(x)=(ax^2+b)^3, then the function g satisfying f(g(x))=g(f(x)) is given by
- If f:R R is a mapping defined by f(x)=x^3+5, then f^ -1 (x) is equal to
- Let A= x R:x 1 and f:A A be defined as f(x)=x(2-x). Then f^ -1 (x) is
- Let A= x R:x 0, -4 x 4 and f:A R be defined by f(x)= |x| x for x A. Then the range of f is
- If a function f:[2, ) B defined by f(x)=x^2-4x+5 is a bijection, then B=
- Let f:R- n R be a function defined by f(x)= x-m x-n , where m n. Then,
- The interval in which the function y= x-1 x^2-3x+3 transforms the real line is
- Let f:(e, ) R be defined by f(x)= [ ( x)], then
- If f:R R is defined by f(x)=x^2+1, then the values of f^ -1 (17) and f^ -1 (-3) respectively are
- Let f:B C and g:A B be bijections. Then (f g)^ -1 =
- If f(x)= ^2x, g(x)= x and h(x)= ^ -1 x, 0 x 1, then
- If g(x)=1+ x and f(g(x))=3+2 x +x, then f(x) is equal to
- Let f:A B and g:B A be two functions such that f g=I_B. Then,
- If the function f:R A given by f(x)= x^2 x^2+1 is a surjection, then A=
- The equivalent definition of the function f(x)= _ n x^n-x^ -n x^n+x^ -n , x>0, is
- The function f(x)=| x| is periodic with period
- The period of the function f(x)= ^4x+ ^4x is
- The values of x for which y= - _ 1/2 (1+ 1 x^ 1/4 )-1 is a real number are
- The equivalent definition of f(x)= x^2,(1-x)^2,2x(1-x) , where 0 x 1, is