Function questions
503 published questions with worked solutions.
- Let the domain of the function f(x) = _3 _5(7- _2(x^2-10x+85)) + ^ -1 ( | 3x-7 17-x | ) be ( , ]. Then + is equal to :
- Consider two sets A= x z:||(x-3)-3| 1 and B= x R- 1,2 : (x-2)(x-4) x-1 _ e (|x-2|)=0 Then the number of onto functions f: A B is...
- Let f be a function such that 3f(x)+2f ( m 19x )=5x, x 0, where m= _ i=1 ^ 9 (i)^2. Then f(5)-f(2) is equal to
- If g(x) = 3x^2 + 2x - 3, f(0) = -3 and 4g(f(x)) = 3x^2 - 32x + 72, then f(g(2)) is equal to:
- Given below are two statements : Statement I : The function f:R R defined by f(x)= x 1+|x| is one-one. Statement II : The...
- Let f(x) = _ex and g(x) = x^4-2x^3+3x^2-2x+2 2x^2-2x+1 . Then the domain of fog is-
- The function f : (- , ) (-1,1), defined by f(x)= 2^x-2^ -x 2^x+2^ -x is :
- If the domain of the function f(x) = 1 10+3x-x^2 + 1 x+|x| is (a, b), then (1+a)^2 + b^2 is equal to :
- Let f, g : (1, ∞) → ℝ be defined as f(x) = 2x+3 5x+2 and g(x) = 2-3x 1-x . If the range of the function fog : [2, 4] → ℝ is [α,...
- If the range of the function f(x) = 5-x x^2-3x+2 , x 1, 2, is (- , ] [ , ), then ^2 + ^2 is equal to :
- Let A= 1,2,3 and B= 2,3,4 , then which of the following relations is a function from A to B?
- A function f from the set of natural numbers to integers defined by f(n)= cases n-1 2 , & when n is odd - n 2 , & when n is even...
- Let A=[-1,1] and f:A A be defined as f(x)=x|x| for all x A, then f(x) is
- If f:R C is defined by f(x)=e^ 2ix for x R, then f is (where C denotes the set of all complex numbers)
- If R denotes the set of all real numbers, then the function f:R R defined by f(x)=|x| is
- A= 1,2,3,4 and B= 1,2,3,4,5,6 are two sets, and the function f:A B is defined by f(x)=x+2 x A, then the function f is
- The function f:R R defined by f(x)=(x-1)(x-2)(x-3) is
- Let A=R- 3 , B=R- 1 . Let f:A B be defined by f(x)= x-2 x-3 . Then,
- A mapping f:N N, where N is the set of natural numbers, is defined as f(n)= cases n^2, & n odd 2n+1, & n even cases for n N....
- Which of the following functions is one-to-one?
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