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).