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 · 9 Apr · Shift 2 · Q32
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2019 · 9 Apr · Shift 2 · Q32

Functions question

2019 · 9 Apr · Shift 2 · Q32

JEE MainMathematicsFunctionsMCQ+4 / −1
The domain of the definition of the function f(x)=14−x2+log⁡10(x3−x)f(x) = {1 \over {4 - {x^2}}} + {\log _{10}}({x^3} - x)f(x)=4−x21​+log10​(x3−x) is
  1. A
    (-1, 0) ∪\cup∪ (1, 2) ∪\cup∪ (2, ∞\infty∞)
  2. B
    (-2, -1) ∪\cup∪ (-1,0) ∪\cup∪ (2, ∞\infty∞)
  3. C
    (1, 2) ∪\cup∪ (2, ∞\infty∞)
  4. D
    (-1, 0) ∪\cup∪ (1,2) ∪\cup∪ (3, ∞\infty∞)
PreviousNext

More from Functions

  • For x∈R−{0,1}, Let f1(x) = x1​, f2 (x) = 1 – x and f3 (x) = 1−x1​ be three given functions. If a function, J(x) satisfies (f2 o J o f1) (x) = f3 (x) then J(x) is equal to :2019 · MCQ
  • Let A = {x ∈ R : x is not a positive integer}. Define a function f: A → R as f(x)=x−12x​, then f is :2019 · MCQ
  • Let f(x) = ex – x and g(x) = x2 – x, ∀ x ∈ R. Then the set of all x ∈ R, where the function h(x) = (fog) (x) is increasing, is :2019 · MCQ
  • 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