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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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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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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Q) A function 𝑓:π‘…βˆ’{3/5}βŸΆπ‘…βˆ’{3/5} is defined as 𝑓(π‘₯)=(3π‘₯+2)/(5π‘₯βˆ’3). Show that 𝑓 is one-
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Q) A function 𝑓:π‘…βˆ’{3/5}βŸΆπ‘…βˆ’{3/5} is defined as 𝑓(π‘₯)=(3π‘₯+2)/(5π‘₯βˆ’3). Show that 𝑓 is one-
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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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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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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) 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) Domain of 𝑠𝑖𝑛^(βˆ’1) (2π‘₯^2βˆ’3) is (A) (βˆ’1,0)βˆͺ(1,√2)(B) (βˆ’βˆš2,βˆ’1)βˆͺ(0,1)(C) [βˆ’βˆš2,βˆ’1]βˆͺ[1,√2](D) (βˆ’
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Q) Domain of 𝑠𝑖𝑛^(βˆ’1) (2π‘₯^2βˆ’3) is (A) (βˆ’1,0)βˆͺ(1,√2)(B) (βˆ’βˆš2,βˆ’1)βˆͺ(0,1)(C) [βˆ’βˆš2,βˆ’1]βˆͺ[1,√2](D) (βˆ’
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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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