Question 1198142

Find the inverse of each function. 

(13)

{{{ g(x) = (7/3)x + 2}}}


recall that  {{{ g(x) =y}}}

{{{ y = (7/3)x + 2}}}....swap the  variables

{{{ x= (7/3)y + 2}}}....solve for {{{y}}}


{{{ x-2= (7/3)y }}}


{{{ x/(7/3)-2/(7/3)= y }}}


{{{ y=(3/7)x-6/7 }}}

your inverse is:

{{{ g}}}'{{{(x) =(3/7)x-6/7 }}}


{{{ graph( 600, 600, -10, 10, -10, 10, (7/3)x + 2, (3/7)x-6/7) }}}

 
(14)

 {{{h(x) = (6x-5)/2}}}

{{{y = (6x-5)/2}}}....swap the  variables

{{{x = (6y-5)/2}}}...solve for {{{y}}}

{{{2x = 6y-5}}}

{{{2x +5= 6y}}}

{{{(2/6)x +5/6= y}}}

{{{y=(1/3)x +5/6}}}

your inverse is:

{{{ h}}}'{{{(x) =(1/3)x +5/6}}}


{{{ graph( 600, 600, -10, 10, -10, 10,(6x-5)/2, (1/3)x +5/6) }}}