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Q) Let f: 𝑅_+ β†’ [-5, ∞) be defined as f(x) = γ€–9π‘₯γ€—^2+6π‘₯βˆ’5, where 𝑅_+ is the set of al non-negat
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Q) Let f: 𝑅_+ β†’ [-5, ∞) be defined as f(x) = γ€–9π‘₯γ€—^2+6π‘₯βˆ’5, where 𝑅_+ is the set of al non-negat
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Q) Let A = R – {5} and B = R – {1}. Consider the function f: A β†’ B, defined by f(x) = (π‘₯βˆ’3)/
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YouTubeShivang Maths Academy
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Q) Show that a function f: R β†’ R defined by f(x) = 2π‘₯/(1+π‘₯^2 ) is neither one-one nor onto.
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YouTubeShivang Maths Academy
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Q) Show that 𝑓:𝑅_+β†’[βˆ’5,∞) given by 𝑓(π‘₯)=4π‘₯^2+4π‘₯βˆ’5 is both one-one and onto where 𝑅_+=[0,∞).
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Q) Let f:Aβ†’B be defined by f(x)=(xβˆ’2)/(xβˆ’3), where A=Rβˆ’{3} and B=Rβˆ’{1}. Discuss the biject
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Q) The following graph represents (A) 𝑦=cos^(βˆ’1) π‘₯ (B) 𝑦=sec^(βˆ’1) π‘₯ (C) 𝑦=sin^(βˆ’1) π‘₯ (D)
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YouTubeShivang Maths Academy
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Find the domain of the function 𝑓(π‘₯)=𝑠𝑖𝑛^(βˆ’1) (π‘₯^2βˆ’3) #class12maths #shivangmaths
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Q) The graph of a trigonometric function is as shown. Which of the following will represent graph of
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Q) Show that a function 𝑓:𝑅_+β†’π΄βŠ‚π‘, defined as 𝑓(π‘₯)=4π‘₯^2+12π‘₯+15 is one-one. Find gset 𝐴
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YouTubeShivang Maths Academy
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Q) Check whether the relation S in the set ℝ of real number, defined as S={(a,b):a≀b^2 } is reflexiv
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find domain and range | class 11 maths | functions class 11 #algebra #mathematics
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YouTubeatulsirmaths
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