MATH 118 Chapter Notes - Chapter 2.4: Precalculus, Graphing Calculator
Document Summary
The domain of x cannot include x values that results in a zero in the denominator. X -4 is equal to zero when x=2 and when x=-2. As a result the domain consist of all real numbers except 2 and -2. To ensure real values in the range the domain of g can include only x values for which 6-7x is greater than or equal to 0. Therefore the domain of g is x<6/7: ex: find the domain of the function y = root (x -x-12) The domain only includes the x values for which x^2-x-12 is greater than or equal to 0. The new function thus is f(x)=x^2-12. (x-4)and (x+3) is when the function is equal to zero. Thus the domain of this function is all real numbers except +4 and -3. The sign of f(x) is determined by the signs of its factors.
