Question 1165859
<pre>
We begin with 

{{{y=1/x}}}

</pre>horizontal stretch by the factor 2,<pre>

We replace x by x/2

{{{y=1^""/(x/2)}}}
which simplifies to
{{{y=2/x}}}

</pre>vertical stretch by the factor 5<pre>

We multiply the whole right side by 5

{{{y=10/x}}}

</pre>reflection in the y-axis<pre>

We replace x by -x

{{{y=10/(-x)}}}

which simplifies to

{{{y=-10/x}}}

</pre>translation 1 unit left<pre> 

We replace x by (x+1)

{{{y=-10/(x+1)}}}

</pre>and 3 units down<pre>

We subtract 3 from the whole right side:

{{{y=-10/(x+1)-3}}}

get LCD

{{{y = -10/(x+1)-3(x+1)/(x+1)}}}

{{{y = (-10-3(x+1))/(x+1)}}}

{{{y =  (-10-3x-3)/(x+1)}}}

{{{y = (-3x-13)/(x+1)}}}

So the answer is

{{{"g(x)" = (-3x-13)/(x+1)}}}

Edwin</pre>