Answer: The required value of g(x) - f(x) is [tex]5x-3^x+8.[/tex]
Step-by-step explanation: We are given the following two functions :
[tex]f(x)=5x-1,\\\\g(x)=3^x-9.[/tex]
We are to find the value of g(x) - f(x).
We have
[tex]f(x)-g(x)\\\\=(5x-1)-(3^x-9)\\\\=5x-1-3^x+9\\\\=5x-3^x+8.[/tex]
Thus, the required value of g(x) - f(x) is [tex]5x-3^x+8.[/tex]
