I got the first one but need help with the second!
Let me know if you would like to see my work~
Write the first as
y = ( n + 2)^(1/5) take both sides to the 5th power
y^5 = n + 2 subtract 2 from both sides
y^5 - 2 = n "swap" n and y
n^5 - 2 = y for y, write f-1 (n)..so...
f-1(n) = n^5 - 2
Second one
y = -2x^3 - 1 add 1 to both sides
y + 1 = -2x^3 multiply through by - 1
- (y + 1) = 2x^3 divide both sides by 2
-(y + 1) / 2 = x^3 take the cube root of both sides
[ - (y + 1) / 2 ] ^(1/3) = x "swap " x and y
[ - ( x + 1) / 2 ]^(1/3) = y for y, write f-1(x)
f-1(x) = [ - (x + 1) / 2 ] ^(1/3)