npt2 m59

f:R--> R

f(x) = {x+7 , xÎµQ
{âˆš7-x , xÎµQ ^c , then f is

A) one-one and onto B) one-one and into

C) many-one and onto D) many-one and into

7 Answers

Check the definition of the function............

domain is x Îµ Q, in both the cases.........

Plz verify

Sorry Kalyan

EDITED Its Q^c for the 2n one

answer C...........

Many-one and onto

[339]

ANS given is D

Even I got C

Must be C.

It sure hagoes frm (-âˆž,âˆž), but probably has some values missing in 'tween

may be :(

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω