Function questions
503 published questions with worked solutions.
- If f:R R is an even function then
- Let f(x)=ax+b and g(x)=cx+d. The condition f(g(x))=g(f(x)) holds for all x if and only if …
- The domain of the function f(x) = ^ 7-x P_ x-1
- If g(x)=1- x and f(g(x))=5+4 x +x, then the value of f(6) is...
- If f(x)=x^2 and g(x)=[x^2] where [ ] represents the greatest integer function then, (f g) ( 3 2 )+(g f) ( 3 2 ) is equal to …
- The function defined by f(x) = 2x+3 3x+4 , x - 4 3 , is
- If f(x) = 2x-1 x+5 , x -5 then f^ -1 (x) is equal to
- The domain of the function f(x) = ^ (10-x) C_ (x-6) is…
- The domain of the function f(x) = x-1 + 6-x is…
- f(x)= cases 3-x, & -1 x<0 1+ 5x 3 , & -3 x 2 cases and g(x)= cases -x, & -2 x<3 x, & 0 x 1 cases the range of (f g)(x) is
- If f(x)=3x+10, g(x)=x^2-1, then (f g)^ -1 (x)=
- Let f: R - 2 R - 1 defined by f(x) = x - 3 x - 2 and g: R R defined by g(x) = 3x - 2, then sum of all values of x for which f^ -1...
- The function is f(x)= [ (x+ 1+x^2 ) ] is _____ function
- Let f(x) be an indefinite integral of ^3x. Statement 1: f(x) is a periodic function of period π. Statement 2: ^3x is a periodic...
- Let f be an odd function defined on the set of real numbers such that for x 0, f(x) = 3 x + 4 x. Then f(x) at x = - 11 6 is equal...
- The function f(x) = | 4x| + | 2x|, is a periodic function with a fundamental period
- Let f : R R be defined by f(x) = |x| - 1 |x| + 1 , then f is
- Let f be a function satisfying f(x + y) = f(x) + f(y) for all x, y R. If f(1) = k then f(n), n N, is equal to
- Let f(x) = (x^ 12 - x^9 + x^4 - x + 1)^ -1/2 . The domain of the function is
- The domain of the function f(x) = x - 1 - x^2 is
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