Function questions
503 published questions with worked solutions.
- A function f : X Y is said to be invertible, if there exists a function g : Y X such that
- Let f : R R be given by f(x) = x. Then, f^ -1 (1) is
- Let A = R - 3 and B = R - 1 . If f : A B defined by f(x) = x - 2 x - 3 is invertible then the inverse of f is
- The domain of the function f(x) = x is
- If f(x) = 3x - 2 and g(x) = x^2, then (f g)(x) is
- If f : R - 2 R is a function defined by f(x) = x^2 - 4 x - 2 , then its range is
- If f(x) = 3x^2 + 4x + 9 x^2 - 6x + 10 , then f is
- What is the domain of the function f(x)= 1 |x|-x ?
- The function f : X Y defined by f(x)= x, where x X, is one-one and onto if X and Y are respectively equal to
- Let f : [-6, 6] R be defined by f(x)=x^2-3. Consider the following : 1. (f f f)(-1)=(f f f)(1) 2. (f f f)(-1)-4(f f f)(1)=(f...
- Let f(x)=px+q and g(x)=mx+n. Then f(g(x))=g(f(x)) is equivalent to
- Let f(x) : cases x, & x is rational 0, & x is irrational cases and g(x) : cases 0, & x is rational , & x is irrational cases If f...
- Which one of the following functions is neither even nor odd?
- The inverse of the function y=5^ x is
- The function f(x)=|x|-x^3 is
- If f(x)= 4x+x^4 1+4x^3 and g(x)= ( 1+x 1-x ), then what is the value of f g ( e-1 e+1 ) equal to?
- Suppose f : R R is defined by f(x)= x^2 1+x^2 . What is the range of the function?
- If f : R S defined by f(x)=4 x-3 x+1 is onto, then what is S equal to?
- What is the period of the function f(x)= x?
- If f(x) is an even function, where f(x) 0, then which one of the following is correct?
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