Question 1017769
{{{f(x)=x+6}}}

recall that {{{f(x)=y}}}, so we have

{{{y=x+6}}}......to find inverse first swap {{{x}}} and {{{y}}}

{{{x=y+6}}}........solve for {{{y}}}

{{{y=x-6}}}

inverse is {{{f^-1(x)=x-6}}}

{{{ graph( 600, 600, -10, 15, -10, 10, x+6, x-6) }}}


and, do same steps here too 


{{{f(x)=2x-9}}}

{{{y=2x-9}}}...........swap {{{x}}} and {{{y}}}

{{{x=2y-9}}}............solve for {{{y}}}

{{{x+9=2y}}}

{{{(x+9)/2=y}}}

{{{y=(1/2)x+9/2}}}

{{{ graph( 600, 600, -10, 15, -10, 10, 2x-9, (1/2)x+9/2) }}}