Question

Let f(x) = log3(x) and g(x) = 3x.

a. What is g(f(x))?
b. Based on the results in part (a), what can you conclude about the functions f and g?

Answer 1

Answer with Step-by-step explanation:

We are given that

`f(x)=log_3(x)`

`g(x)=3x`

a.We have to find g(f(x))

`g(f(x))=g(log_3(x))`

`g(f(x))=3log_3(x)`

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).