Question 1201971
<br>
You have not shown the expression correctly, so none of the given answer choices is correct.<br>
g-3/f-1 --> {{{g-3/f-1}}}<br>
Substitute 3/g for f:<br>
{{{g-3/(3/g)-1}}}
{{{g-3(g/3)-1}}}
{{{g-g-1}}}
{{{-1}}}<br>
ANSWER: -1<br>
You can get yourself into all kinds of trouble if you are sloppy with your use of parentheses.<br>
From the given answer choices, it is clear that the expression to be simplified is in fact<br>
(g-3)/(f-1) --> {{{(g-3)/(f-1)}}}<br>
Let's do that....<br>
Substitute 3/g for f and simplify:<br>
{{{(g-3)/(3/g-1)}}}
{{{(g-3)/((3-g)/g)}}}
{{{(g-3)*(g/(3-g))}}}
{{{-g}}}<br>
ANSWER: -g  (answer choice 5)<br>