Function questions
503 published questions with worked solutions.
- f : IR IR; g : IR IR are two functions such that f(x) = 2x - 3, g(x) = x^3 + 5, then (fog)^ -1 (-9) is
- The domain, of definition of the function y(x) is given by the equation 2^x+2^y=2, is
- For a suitable chosen real constant a, let a function f: R - -a R be defined by f(x)= a-x a+x . Further, suppose that for any...
- If the function f : R - -1, 1 A defined by f(x) = x^2 1 - x^2 is surjective, then A is equal to
- If g(x)=x^2+x-2 and 1 2 (g f)(x)=2x^2-5x+2 then f(x) is equal to
- The domain of the function f(x) = x - 1 + 3 - x is ...
- If f:[1, ) [2, ) is given by f(x)=x+ 1 x then f^ -1 (x) equals
- If f(x) = x^2 + 1 and g(x) = 1 x , then the value of f (g (g (f(x) ) ) ) at x = 1 is
- If g(x)=1+ x and f(g(x))=3+2 x +x, then f(f(x)) is
- If g(x) is the inverse function of f(x), where f(x)= 5x+3 4x-1 , then g(1) =
- The domain of the function f(x)=e^ 5x-3-2x^2 is
- If f(x) = 2x-3 3x-4 , x 4 3 , then the value of f^ -1 (x) is
- The range of the function f(x)= x^2 x^2+1 is
- If f(x-y)+f(x+y)=2f(x)f(y) for all x,y R, then f(x) is ….
- Let f(x)=(x+1)^ 2 -1, x -1, then the set x/f(x)=f^ -1 (x) is
- If e^x + e^ f(x) = e, then the domain of f(x) is
- If f(x)= 4x+3 6x-4 , x 23 and (f f)(x)=g(x) where g:R- 23 R- 23 , then (g g g g g)(3)=
- If f(x) = 1-x 1+x , then f(f( x)) =
- If f:R R and g:R R are defined as f(x)=2x-|x| and g(x)=2x+|x|, then
- The domain of the function f(x)= x 1+x is ...
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