Question 939679
{{{f(x)=3x + 5}}};   {{{g(x)=(1/3)x -5/3}}}

find inverse of {{{f(x)=3x + 5}}}

since
{{{f(x)=y}}} we have

{{{y=3x + 5}}} ...swap {{{x}}} and {{{y}}}

{{{x=3y + 5}}} ....solve for {{{y}}}

{{{x-5=3y }}}

{{{x/3-5/3=y }}}

{{{y=(1/3)x -5/3}}}

or

{{{f^-1(x)=(1/3)x -5/3}}}

so, g {{{is}}} the inverse of f


{{{ graph( 600, 600, -10, 10, -10, 10, 3x + 5, (1/3)x -5/3) }}}