DOUBT 2

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If funtion :R-->R be such that f(x)= x - [x], where [] is GIF..Then f^-1(x)=

a. 1/x-[x]

b.[x]-x

c.not defined

d.NOT

#Mathematics #Calculus

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5 Answers

Mani Pal Singh ·2009-05-11 08:49:00

u have to find the inverse of {x}
mirror image in y=x

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msp ·2009-05-11 08:54:15

not defined.

A function can have an inverse if it is said to one one and onto function.

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gordo ·2009-05-11 09:18:39

we observe the function not to be one-one onto, so no bijection, hence no inverse exists..
hence C)
cheers!!

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sriraghav ·2009-05-11 09:19:44

yup(now got easily by graph!!)

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msp ·2009-05-11 09:23:42

sry guys i donno the usage of the highlighting options,i thot it is used for text editor so i unhighlight wat i have done.pls dont mistake me . really sry people for my useless work.sry sry sry

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ 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

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DOUBT 2

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