Question 128487
{{{y=root(3,x+5)-4}}} Start with the given equation



{{{x=root(3,y+5)-4}}} Swap x and y. Now the goal is to solve for y to find the inverse function



{{{x+4=root(3,y+5)}}} Add 4 to both sides



{{{(x+4)^3=y+5}}} Cube both sides



{{{(x+4)^3-5=y}}} Subtract 5 from both sides



So our inverse function is {{{y=(x+4)^3-5}}}