Function questions
503 published questions with worked solutions.
- If the function f(x) is defined by f(x)=a+bx and f^r=f f f (repeated r times), then f^r(x) is equal to
- Which of the following functions is inverse of itself?
- If f(x)=(a-x^n)^ 1/n , where a>0 and n N, then f f(x) is equal to
- If a function f satisfies f f(x) =x+1 for all real values of x and if f(0)= 12, then f(1) is equal to
- If f:R R and g:R R are defined by f(x)=x-3 and g(x)=x^2+1, then the values of x for which g f(x) =10 are
- If f(x)=x^2-1 and g(x)=(x+1)^2, then (g f)(x) is
- If f(x)=ax+b and g(x)=cx+d, then f g(x) =g f(x) is equivalent to
- If f:R R is given by f(x)= cases -1, & x rational 1, & x irrational cases , then (f f)(1- 3) is equal to
- Let R be the set of real numbers and the mappings f:R R and g:R R be defined by f(x)=5-x^2 and g(x)=3x-4, then the value of (f...
- If is the fundamental period of the function f(x)= ^ 99 x+ ^ 99 (x+ 2 3 )+ ^ 99 (x+ 4 3 ), then the complex number z=|z|( +i )...
- Let f be a real-valued invertible function such that f ( 2x-3 x-2 )=5x-2, x 2. Then the value of f^ -1 (13) is
- Let E= 1,2,3,4 and F= 1,2 . If N is the number of onto functions from E to F, then the value of N/2 is
- If T is the period of the function f(x)=[8x+7]+| 2 x+ 2 x|-8x (where [ ] denotes the greatest integer function), then the value...
- Suppose that f is an even, periodic function with period 2, and that f(x)=x for all x in the interval [0,1]. The value of...
- Suppose that f(x) is a function of the form f(x)= ax^8+bx^6+cx^4+dx^2+15x+1 x (x 0). If f(5)=2, then the value of |f(-5)/4| is
- If f:N N, x_2>x_1 f(x_2)>f(x_1) x_1,x_2 N and f(f(n))=3n, n N, then f(2)=
- An even polynomial function f(x) satisfies f(x) f ( 1x )=f(x)+f ( 1x ) for all x 0, with f(4)=-255 and f(0)=1. Then the value of...
- If f(x) is an odd function, f(1)=3 and f(x+2)=f(x)+f(2), then the value of f(3) is
- The function f(x)= x+1 x^3+1 can be written as the sum of an even function g(x) and an odd function h(x). Then the value of...
- The function f:R R defined by f(x)=6^x+6^ |x| is
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration