Question 1178866

{{{f(x)=sqrt(x+5)}}}


{{{f(x)=y}}}

{{{y=sqrt(x+5)}}}........swap variables

{{{x=sqrt(y+5)}}}..........solve for {{{y}}}

{{{x=sqrt(y+5)}}}....square both sides

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

{{{y=x^2-5}}} ->inverse


{{{f}}}'{{{(x)=x^2-5}}}


{{{ graph( 600, 600, -10, 10, -10, 10,-sqrt(x+5), sqrt(x+5), x^2-5) }}}