Question

Given the parent functions f(x) = 5x - 1 and g(x) = 3^x - 9 what is g(x) - f(x)?

Answer 1

G(x) - f(x) means subtracting the value of function f(x) from the value of function g(x). The steps of the solution are listed below:

$g(x)= 3^{x}-9 \\ \\ f(x)=5x-1 \\ \\ g(x)-f(x)= 3^{x}-9-(5x-1) \\ \\ g(x)-f(x)=3^{x}-9-5x+1 \\ \\ g(x)-f(x)=3^{x}-5x-8$