Q) Show that a function 𝑓:𝑅_+→𝐴⊂𝑁, defined as 𝑓(𝑥)=4𝑥^2+12𝑥+15 is one-one. Find gset 𝐴

Find the domain of the function 𝑓(𝑥)=𝑠𝑖𝑛^(−1) (𝑥^2−3) #class12maths #shivangmaths

Q) Let A = R – {5} and B = R – {1}. Consider the function f: A → B, defined by f(x) = (𝑥−3)/

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May 6, 2026

Q) Domain of 𝑠𝑖𝑛^(−1) (2𝑥^2−3) is (A) (−1,0)∪(1,√2)(B) (−√2,−1)∪(0,1)(C) [−√2,−1]∪[1,√2](D) (−

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

Q) Show that a function f: R → R defined by f(x) = 2𝑥/(1+𝑥^2 ) is neither one-one nor onto.