Find the domain of the function 𝑓(π‘₯)= 𝑠𝑖𝑛^(βˆ’1) (π‘₯^2βˆ’4). Also, find its range.#inversetrigonom
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Find the domain of the function 𝑓(π‘₯)= 𝑠𝑖𝑛^(βˆ’1) (π‘₯^2βˆ’4). Also, find its range.#inversetrigonom
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YouTubeShivang Maths Academy
Q) A Show that a function f: R β†’ R defined as f(x) = π‘₯^2+π‘₯+1 is neither one-one nor onto. Also,
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Q) A Show that a function f: R β†’ R defined as f(x) = π‘₯^2+π‘₯+1 is neither one-one nor onto. Also,
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YouTubeShivang Maths Academy
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) 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
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) 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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YouTubeShivang Maths Academy
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If 𝑦=𝑠𝑖𝑛^(βˆ’1) π‘₯,βˆ’1≀π‘₯≀0,then the range of 𝑦 is(A) ((βˆ’πœ‹)/2,0)(B) [(βˆ’πœ‹)/2,0](C) [(βˆ’πœ‹)/2,0
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YouTubeShivang Maths Academy
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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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If 𝑓:𝑅^+→𝑅 is defined as 𝑓(π‘₯)=log_π‘Ž π‘₯(a= 0 and π‘Žβ‰ 1), prove that 𝑓 is a bijection
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