Functions

What the exams ask here

• domain of sqrt(log(...))
• range of exponential/abs function
• f(f(x)) at a point
• f(x+y)=f(x)+f(y) find f(2021)
• f(n)=f(n-1)+... find f(100)
• f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y -> f(8) (Indore 2019 SA Q3)
• f(x + xy) = f(x) + f(xy), f(2020) = 1 (Indore 2021 Q11)
• g(y) = 2y + f(y) with f(x) = x^2 + log3 x (Indore 2020 Q22)
• f(x) = |x + |x||, g(x) = 1/x (Indore 2024 SA Q9)
• range of x/|x| (Indore 2022 Q32); f(x^2 + f(y)) = xf(x) + y (Indore 2022 Q37)
• operations a@b, a#b and nested max/min (Arun Sharma)
• one-one / onto classification