Function questions
503 published questions with worked solutions.
- The period of the function f(x)= ( 2x+3 6 ) is
- The domain of definition of the function f(x)= ( [x+2] ) 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
- Range of the function f(x)= x^2+x+2 x^2+x+1 , x R, is
- The domain of definition of f(x)= _2(x+3) x^2+3x+2 is
- The domain of definition of the function y(x) given by the equation 2^x+2^y=2 is
- Suppose f(x)=(x+1)^2 for x -1. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the...
- If f:[1, ) [2, ) is given by f(x)=x+ 1x, then f^ -1 (x) equals
- Let f:R- 2,6 R be a real valued function defined as f(x)= x^2+2x+1 x^2-8x+12 . Then the range of f is
- Let f(x)=(x+1)^2-1, x -1. Statement-1: The set x:f(x)=f^ -1 (x) = 0,-1 . Statement-2: f is a bijection.
- For x R, 3 (4x-5)+4 lies in the interval
- If f:R S defined by f(x)= x- 3 x+1 is onto, then the interval S is
- If f(x) + 2f ( 1 x ) = 3x, x ≠ 0, and S = x ∈ R : f(x) = f(–x) ; then S :
- The function f : R [- 1 2 , 1 2 ] defined as f(x) = x 1 + x^2 , is
- Let f(x) = _e( x), (0 < x < ) and g(x) = ^ -1 (e^ -x ), (x 0). If α is a positive real number such that a = (f g)'( ) and b = (f...
- Let f : A → B be a function defined as f(x) = x - 1 x - 2 , where A = R – 2 and B = R – 1 . Then f is -
- The domain of the definition of the function f(x) = 3 4 - x^2 + _ 10 (x^3 - x) is:
- Let A = x ∈ R : x is not a positive integer . Define a function f: A → R as f(x) = 2x x - 1 , then f is:
- For x ∈ (0, 3/2), let f(x) = x, g(x) = tan x and h(x) = 1 - x^2 1 + x^2 . If φ(x) = ((hof)og)(x), then ( 3 ) is equal to:
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