Tutor profile: Saisree K.
Consider a function f(x) = (x-3)/(x^2 - 4). What is the domain and range of the function?
The function has denominator x^2 - 4. The denominator can't be 0. So x can't take values 2 & -2. The domain of the function is (-inf, -2) U (-2,2) U (2, inf). The range would be R (all real numbers).
What is Sin(2a)?
Sin(2a) = 2Sin(a)Cos(a)
Adam has $20 and plans to purchase stationary. He needs 2 books, 3 pencils, 1 eraser & 2 pens. Each book costs $4.50, pencil costs $1.99, eraser costs $2.50 and a pen costs $3. Will he be able to buy everything with the money? If yes, how much would he be left with. If not, how much more money does he need?
To buy everything he needs, it costs Books = 2 * 4.50 = 9 Pencils = 3 * 1.99 .= 5.97 Eraser = 1 * 2.50 = 2.50 Pens = 2 * 3 = 6 Total = 23.47 It costs $23.47 to buy everything he needs. But he has $20. So he needs $3.47 more to buy everything.
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