Question 148157
{{{(f/g)(x)=(f(x))/(g(x))}}} Start with the given property



{{{(f(x))/(g(x))=((3-x)(3+x))/(3-x)}}} Plug in {{{f(x)=(3-x)(3+x)}}} and {{{g(x)=3-x}}}



{{{(f(x))/(g(x))=(highlight((3-x))(3+x))/highlight((3-x))}}} Highlight the common terms.



{{{(f(x))/(g(x))=(cross((3-x))(3+x))/cross((3-x))}}} Cancel out the common terms.



{{{(f(x))/(g(x))=3+x}}} Simplify.



{{{(f(x))/(g(x))=x+3}}} Rearrange the terms.