Answer:
f(g(5)) = 0.156
Step-by-step explanation:
We are given the following functions:
[tex]f(x) = \log{(3x)}[/tex]
[tex]g(x) = \log{(x-2)}[/tex]
f(g(5))?
First we find g(5), and then, we find f when [tex]x = g(5)[/tex]. So
[tex]g(5) = \log{(5-2)} = \log{3} = 0.477[/tex]
[tex]f(g(5)) = f(0.477) = \log{3*0.477} = 0.156[/tex]
So
f(g(5)) = 0.156
