Q) A Show that a function f: R → R defined as f(x) = 𝑥^2+𝑥+1 is neither one-one nor onto. Also,
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Q) A Show that a function f: R → R defined as f(x) = 𝑥^2+𝑥+1 is neither one-one nor onto. Also,
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YouTubeShivang Maths Academy
Find the domain of the function 𝑓(𝑥)= 𝑠𝑖𝑛^(−1) (𝑥^2−4). Also, find its range.#inversetrigonom
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Find the domain of the function 𝑓(𝑥)= 𝑠𝑖𝑛^(−1) (𝑥^2−4). Also, find its range.#inversetrigonom
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YouTubeShivang Maths Academy
Q) A function 𝑓:𝑅−{3/5}⟶𝑅−{3/5} is defined as 𝑓(𝑥)=(3𝑥+2)/(5𝑥−3). Show that 𝑓 is one-
2:53
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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YouTubeShivang Maths Academy
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) 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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YouTubeShivang Maths Academy
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) 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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YouTubeShivang Maths Academy
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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YouTubeShivang Maths Academy
Q) Let f: 𝑅_+ → [-5, ∞) be defined as f(x) = 〖9𝑥〗^2+6𝑥−5, where 𝑅_+ is the set of al non-negat
3:00
Q) Let f: 𝑅_+ → [-5, ∞) be defined as f(x) = 〖9𝑥〗^2+6𝑥−5, where 𝑅_+ is the set of al non-negat
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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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If 𝑓:𝑅^+→𝑅 is defined as 𝑓(𝑥)=log_𝑎 𝑥(a= 0 and 𝑎≠1), prove that 𝑓 is a bijection
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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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