3x43x216x16 Determine the value or values of the variable fo

3x-4/3x^2-16x+16

Determine the value or values of the variable for which the expression is defined.

Solution

3x - 4 / 3x² - 16x +16

= 3x - 4 / 3x² - 12x -4x +16

= 3x-4 / 3x(x-4) - 4 ( x-4)

= 3x - 4 / (x-4) ( 3x - 4)

= 1/(x-4)

The function is defined at all values of x except x= 4.