Question

How would I solve Question 1 & 2 to find g(x)-f(x)

Answer 1

We will have the following:

1)

$g(x)-f(x)=5^x-12-3x$

2)

$\begin{gathered} f(x)-g(x)=log_3(5x-5)-log_3(x-1) \\ \\ \Rightarrow f(x)-g(x)=log_3(\frac{5x-5}{x-1}) \\ \\ \Rightarrow f(x)-g(x)=log_3(5) \end{gathered}$