Practice questions
88551 published questions with worked solutions.
- If f(x)=x- 1x, x 0, then f(x^2) equals
- If b^2-4ac=0, a>0, then the domain of the function f(x)= ax^3+(a+b)x^2+(b+c)x+c is
- Let f be a real valued function with domain R such that f(x+1)+f(x-1)= 2f(x) for all x R, then
- The range of the function f(x)= _ 10 ( 4-x^2 1-x ) is
- Let f(x) be a real valued function defined by f(x+ )=1+ [2-5f(x)+10 f(x) ^2-10 f(x) ^3+5 f(x) ^4- f(x) ^5 ]^ 1/5 for all real x...
- If f(x)=x^2-2|x| and g(x)= cases f(t):-2 t x , & -2 x<0 f(t):0 t x , & 0 x 3 cases , then g(x) equals
- If f(x)= ^ -1 ( 2-|x| 4 )+[ _ 10 (3-x)]^ -1 , then its domain is
- If f(x)= ( x) + ( x) , then the range of f(x) is
- If f(x)= ||x|-1 |, then f f(x) equals
- The domain of definition of f(x)= _ 10 1- _ 10 (x^2-5x+16) is
- If x R, then f(x)= ^ -1 ( 1-x^2 1+x^2 ) is equal to
- The period of the function f(x)= ( 2x+3 6 ) is
- The domain of definition of the function f(x)= ( [x+2] ) is
- The domain of definition of the function f(x)= ^ -1 ( 4 3+2 x ) is
- The range of the function f(x)= ^ 7-x P_ x-3 is
- If f(x)= cases -1, & x<0 0, & x=0 1, & x>0 cases and g(x)=x(1-x^2), then
- The domain of definition of the function f(x)= 1 | x|+ x is
- The domain of the function f(x)= ^ -1 [ x], where [x] denotes the greatest integer less than or equal to x, is
- The domain of definition of f(x)= _ 0.4 ( x-1 x+5 ) 1 x^2-36 is
- The domain of definition of f(x)= _ 100x ( 2 _ 10 x+1 -x ) is