For all real values of x if f((x)=(x-3)^2 and g(x)=(x+3)^2 what is f(x)-g(x)?

The composition f(x) - g(x) has its value to be 12xHow to evaluate the composite function?The definitions of the functions are given asf(x) = (x - 3)²Also, we have the definition of another functions to be given asg(x) = (x + 3)²To find the composition f(x) - g(x), we make use of the following equationf(x) - g(x) = f(x) - g(x)So, we have the following equationf(x) - g(x) = f(x) - g(x)Substitute the known values in the above equation So, we have the following equationf(x) - g(x) = (x + 3)² - (x - 3)²Apply the differece of two squares rulesSo, we havef(x) - g(x) = (x + 3 + x - 3)(x + 3 - x + 3)So, we havef(x) - g(x) = (2x)(6)This givesf(x) - g(x) = 12xHence, the value of the composition is f(x) - g(x) = 12xRead more about composite functions atbrainly.com/question/10687170#SPJ1