Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Functions question

2019 · 10 Apr · Shift 1 · Q32
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2019 · 10 Apr · Shift 1 · Q32

Functions question

2019 · 10 Apr · Shift 1 · Q32

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f(x) = ex – x and g(x) = x2 – x, ∀\forall∀ x ∈\in∈ R. Then the set of all x ∈\in∈ R, where the function h(x) = (fog) (x) is increasing, is :
  1. A
    [0, ∞\infty∞)
  2. B
    [−1,−12]∪[12,∞)\left[ { - 1, - {1 \over 2}} \right] \cup \left[ {{1 \over 2},\infty } \right)[−1,−21​]∪[21​,∞)
  3. C
    [−12,0]∪[1,∞)\left[ { - {1 \over 2},0} \right] \cup \left[ {1,\infty } \right)[−21​,0]∪[1,∞)
  4. D
    [0,12]∪[1,∞)\left[ {0,{1 \over 2}} \right] \cup \left[ {1,\infty } \right)[0,21​]∪[1,∞)
PreviousNext

More from Functions

  • Let f(x) = x2 , x ∈ R. For any A ⊆ R, define g (A) = { x ∈ R : f(x) ∈ A}. If S = [0,4], then which one of the following statements is not true ?2019 · MCQ
  • Let N be the set of natural numbers and two functions f and g be defined as f, g : N → N such that f(n) = {2n+1​;2n​;​ifnisoddifniseven​…2019 · MCQ
  • Let f : R → R be defined by f(x) = 1+x2x​,x∈R. Then the range of f is :2019 · MCQ
  • Let fk(x) = k1​(sinkx+coskx) for k = 1, 2, 3, ... Then for all x ∈ R, the value of f4(x) − f6(x) is equal to2019 · MCQ
  • Let a function f : (0, ∞) → (0, ∞) be defined by f(x) = ​1−x1​​. Then f is :2019 · MCQ
  • The number of functions f from {1, 2, 3, ...., 20} onto {1, 2, 3, ...., 20} such that f(k) is a multiple of 3, whenever k is a multiple of 4, is :2019 · MCQ
  • For x ∈ (0, 3/2), let f(x) = x​, g(x) = tan x and h(x) =1+x21−x2​. If ϕ(x) = ((hof)og)(x), then ϕ(3π​) is equal to :2019 · MCQ
  • Let f : A → B be a function defined as f(x) = x−2x−1​, Where A = R −{2} and B = R − {1}. Then f is :2018 · MCQ