Alumina is used in preparing cosmetics like lipsticks and skincare products like cleansing products and blushers. To know more about the... View Article
No, hydrofluoric acid is a weak acid. To know more about acids and bases in a detailed and engaging way, subscribe to BYJU’S - The Learning App.... View Article
Light features oscillating electric and magnetic fields, hence it is known as an electromagnetic wave. To know more about the light waves in a... View Article
The main principle of interference is, when two waves interfere with each other, a resultant wave of greater, lower, or the same amplitude is... View Article
Yes, the electric field is a display of electromagnetic force. The electromagnetic force is one of the fundamental forces that exist in nature.... View Article
The difference in the temperature between the systems leads to the transfer of heat from the hotter system to the cooler system. Hence, heat is... View Article
No bauxite is not a sulphide ore. To know more about various metals and other science topics in an interesting way, subscribe to BYJU’S - The... View Article
The presence of impurities lowers the vapour pressure of the solution since the concentration of the solution is increased. So ice melts easily... View Article
1) f-1(x) = -x 2) f-1(x) = 1 / |x| 3) f-1(x) does not exist 4) f-1(x) = 1 / x Solution: (3) For the function f (x) to be invertible, it... View Article
1) f (4√2) 2) f (3√2) 3) f (2√2) 4) f (√2) Solution: (1) f (x) = x2 - 3, x ϵ R (fof) (x) = f (f (x)) = f (x2 - 3) = (x2 - 3)2 - 3 = x4... View Article
Solution: (1) f (x) + 2 f (1 / [1 − x]) = x Put x = 2, f (2) + 2 f (-1) = 2 -- (1) Put x = -1, f (-1) + 2 f (1 / 2) = -1 --- (2) Put x = 1... View Article
1) f (x + 2) - 2 f (x + 1) + f (x) = 0 2) f (x) + f (x + 1) = f{x(x + 1)} 3) f (x) + f (y) = f [(x + y) / (1 + xy)] 4) f (x + y) = f (x) f (y)... View Article
Solution: (2) Let f (x) = sx and g (x) = logex f {g(x)} = f (log ex) = eloge^x = ex g{ f(x)} = g (ex) = ex log e = ex f {g(x)} = g{ f(x)}... View Article
