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

Functions question

2020 · 6 Sep · Shift 2 · Q29
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2020 · 6 Sep · Shift 2 · Q29

Functions question

2020 · 6 Sep · Shift 2 · Q29

JEE MainMathematicsFunctionsNumerical+4 / −1
Suppose that a function f : R →\to→ R satisfies f(x + y) = f(x)f(y) for all x, y ∈\in∈ R and f(1) = 3. If ∑i=1nf(i)=363\sum\limits_{i = 1}^n {f(i)} = 363i=1∑n​f(i)=363 then n is equal to ‾\underline{\hspace{2cm}}​ .
Numerical answer
PreviousNext

More from Functions

  • If g(x) = x2 + x - 1 and (goƒ) (x) = 4x2 - 10x + 5, then ƒ(45​) is equal to:2020 · MCQ
  • The inverse function of f(x) = 82x+8−2x82x−8−2x​, x ∈ (-1, 1), is :2020 · MCQ
  • Let ƒ : (1, 3) → R be a function defined by f(x)=1+x2x[x]​, where [x] denotes the greatest integer ≤ x. Then the range of ƒ is2020 · MCQ
  • Let a – 2b + c = 1. If f(x)=​x+ax+bx+c​x+2x+3x+4​x+1x+2x+3​​, then:2020 · MCQ
  • If f(x)=loge​(1+x1−x​), ∣x∣<1 then f(1+x22x​) is equal to2019 · MCQ
  • Let ƒ(x) = ax (a > 0) be written as ƒ(x) = ƒ1 (x) + ƒ2 (x), where ƒ1 (x) is an even function of ƒ2 (x) is an odd function. Then ƒ1 (x + y) + ƒ1 (x – y) equals2019 · MCQ
  • If the function ƒ : R – {1, –1} → A defined by ƒ(x) = 1−x2x2​ , is surjective, then A is equal to2019 · MCQ
  • Let k=1∑10​f(a+k)=16(210−1) where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is2019 · MCQ