Function questions
503 published questions with worked solutions.
- The domain of the function f(x) = ^ -1 [2x^ 2 - 3] + _ 2 ( _ 1/2 (x^ 2 - 5x + 5)), where [t] is the greatest integer function, is
- Let f, g : N − 1 N be functions defined by f(a) = , where is the maximum of the powers of those primes p such that pᵅ divides a,...
- Let S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . Define f : S S as f(n) = 2n if n = 1, 2, 3, 4, 5 and f(n) = 2n − 11 if n = 6, 7, 8, 9,...
- Let a function f : N N be defined by f(n) = 2n for n = 2, 4, 6, 8, ...; f(n) = n − 1 for n = 3, 7, 11, 15, ...; f(n) = (n + 1)/2...
- Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x)) = 8x^ 2 - 2x and g(f(x)) = 4x^ 2 + 6x + 1,...
- A function f defined by f(x)= ( x^2+1 -x) is
- The domain of the function f defined by f(x)= _x10 is
- The domain of the function f(x)= (2-x)(x-3) is
- If f(x)= x-2 x+2 , x -2, then what is f^ -1 (x) equal to?
- The domain of the function f(x) = 1 [x]^2-3[x]-10 is (where [x] denotes the greatest integer less than or equal to x)
- Let f and g be two functions defined by f(x) = cases x+1, & x<0 |x-1|, & x 0 cases and g(x) = cases x+1, & x<0 1, & x 0 cases...
- For x R, two real valued functions f(x) and g(x) are such that, g(x) = x+1 and fog(x) = x + 3 – x. Then f(0) is equal to
- The number of functions f : 1, 2, 3, 4 a :| | 8 satisfying f(n) + 1 n f(n+1) = 1, n 1, 2, 3 is
- Let f : R R be a function defined by f(x) = _ M 2( x- x)+M-2 , for some M, such that the range of f is [0, 2]. Then the value of...
- The range of the function f(x) = 3-x + 2+x is:
- Let A = 1, 2, 3, 5, 8, 9 . Then the number of possible functions f : A such that f(m.n) = f(m).f(n) for every m, n A with m.n A...
- Let f : R – 2, 6 real valued function defined as f(x) = x^2+2x+1 x^2-8x+12 . Then range of f is :
- If the domain of the function f(x) = [x] 1+x^2 , where [x] is greatest integer , is [2, 6), then its range is :
- The period of ^2 is
- The function f(x) = (x + x^2 + 1 ), is
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