Answer with Step-by-step explanation:
We are given that
[tex]f(x)=log_3(x)[/tex]
[tex]g(x)=3x[/tex]
a.We have to find g(f(x))
[tex]g(f(x))=g(log_3(x))[/tex]
[tex]g(f(x))=3log_3(x)[/tex]
b.We can see that
f(x) is logarithm function and g(x) is linear function.
But , the composition function gof(x) is also logarithmic function.
The composition function gof(x) is 3 times the function f(x).
