Mathematics ( Functions ; Hyperbole ; Vertical and Horizontal asymptotes; Grade 10/11/12 ) #mathematics #grade10 #functions #hyperbole #asymptote

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) A function 𝑓:𝑅−{3/5}⟶𝑅−{3/5} is defined as 𝑓(𝑥)=(3𝑥+2)/(5𝑥−3). Show that 𝑓 is one-

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

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

Q) Let f: 𝑅_+ → [-5, ∞) be defined as f(x) = 〖9𝑥〗^2+6𝑥−5, where 𝑅_+ is the set of al non-negat