Given that f(x) = 5x − 1 and g(x) = 3x − 9, it is required to find the value of g(x) − f(x).
g(x) − f(x) = [3x − 9] - [5x − 1]. - By substitution.
= 3x - 5x -9 +1 -by simplifying and rearranging
= -2x -8 -by solving
= -2(x+4) -by taking out -2 as a factor of both terms.
Hence either -2x -8 or -2(x+4) is the needed answer for finding the difference of the two given functions.
