If `|(12x)/(4x^(2)+9)| le 1`, then

Prove that |(12x)/(4x^2+9)|le1 for all real values of x the equality being satisfied only if |x|=3/2

Prove that |(12x)/(4x^2+9)|le1 for all real values of x the equality being satisfied only if |x|=3/2

If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x le 3):} , show that f(x) is increasing in [-1, 2]

If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x le 3):} , show that f'(x) does not exist at x = 2

If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x le 3):} , show that f(x) has maximum value at x = 2.

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

If 4 le x le 9 , then