Question 1160675
<pre><b><font size=4>

g∘f(x) means to take the whole right side of f(x), put it in parentheses and
substitute it for x in the right side of g(x).

So if you put parentheses around 5x-3 and substituted it for x in x<sup>3/2</sup> you would get 

(5x-3)<sup>3/2</sup> 

So make g(x) = x<sup>3/2</sup> and f(x) = (5x-3).

The function on the right in g∘f, which is f, is the one you start with.

Since you're stating with 5x-3, make

            f(x) = 5x-3

Then take

            g(x) = x<sup>3/2</sup>

and then when you take the whole right side of f(x), which is 5x-3, put
parentheses around it, and substitute it for x in the right side of g(x).,
you get:

           g∘f(x) = (5x-3)<sup>3/2</sup>

So the answers are:
              
            g(x) = x<sup>3/2</sup>,  f(x) = 5x-3


Edwin</pre></b></font>