Question 647171
Find f composed of g composed of h.
 f(x) = x+1, g(x) = 5x, h(x) = x-8
<pre>
f&#2406;g&#2406;h(x) means f&#10216;g[h(x)]&#10217;

We find what's inside the &#10216; &#10217; first, which is g[h(x)]

To get g[h(x)] we take the right side of g(x), which is 5x, and substitute
the right side of h(x), which is x-8 in place of x.

So we substitute x-8 into 5x, in place of x, and get 5(x-8), 
so now we have

     g[h(x)]&#10217; = 5(x-8)

Now to get f&#10216;g[h(x)]&#10217; we take the right side of f(x), which is x+1, and 
substitute the right side of g[h(x)]&#10217;, which is 5(x-8) in place of x.

So we substitute 5(x-8) into x+1, in place of x, and get 5(x-8)+1, 
so now we have

     f&#10216;g[h(x)]&#10217; = 5(x-8)+1

and that's actually the answer, and we simplify it to 5x-40+1 = 5x-39,
so we write:

    f&#2406;g&#2406;h(x) = 5x-39

Edwin</pre>