" 5."x^(2)+6x+9

Multiply (5x^(2) - 6x + 9) by (2x - 3)

Multiply (5x^(2) - 6x + 9) by (2x - 3)

int_(1)^(2) (4x^(3) - 5x^(2) + 6x + 9)dx .

Consider f : R rarr (-9 ,oo) given by f(x) = 5x^(2)+ 6x-9 . Prove that f is invertible with f^(-1) (y) = ((sqrt(54+5y)-3)/(5)) where R^(+) is the set of all positive real numbers.

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Draw the graph of y = x^(2) - 6x + 9 and hence solve x^(2) - 6x + 9 = 0.

Consider f : R_+ rarr (-9, infty) given by f(x) = 5x^2 + 6x - 9 . Prove that f is invertible with f^-1 (y) = (sqrt(54+5y)-3)/(5)

Greatest value of the expression (8)/( 9x^(2) - 6x + 5) is