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Q) Show that a function 𝑓:𝑅_+→𝐴⊂𝑁, defined as 𝑓(𝑥)=4𝑥^2+12𝑥+15 is one-one. Find gset 𝐴
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Q) Let f:A→B be defined by f(x)=(x−2)/(x−3), where A=R−{3} and B=R−{1}. Discuss the biject
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Q) A function 𝑓:𝑅−{3/5}⟶𝑅−{3/5} is defined as 𝑓(𝑥)=(3𝑥+2)/(5𝑥−3). Show that 𝑓 is one-
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Q) Draw the graph of 𝑐𝑜𝑠^(−1) 𝑥, where 𝑥∈[−1, 0]. Also, write its range.
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Q) Draw the graph of 𝑐𝑜𝑠^(−1) 𝑥, where 𝑥∈[−1, 0]. Also, write its range.
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Q) Show that a function f: R → R defined by f(x) = 2𝑥/(1+𝑥^2 ) is neither one-one nor onto.
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Q) Show that a function f: R → R defined by f(x) = 2𝑥/(1+𝑥^2 ) is neither one-one nor onto.
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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) The graph of a trigonometric function is as shown. Which of the following will represent graph of
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If 𝑦=𝑠𝑖𝑛^(−1) 𝑥,−1≤𝑥≤0,then the range of 𝑦 is(A) ((−𝜋)/2,0)(B) [(−𝜋)/2,0](C) [(−𝜋)/2,0
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