Hi there!
[tex]\large\boxed{y = \sqrt[5]{-(x-2)}}[/tex]
[tex]h(x) = -x^{5} + 2[/tex]
Rewrite h(x) as y:
[tex]y = -x^5 + 2[/tex]
Switch the x and y variables:
[tex]x = -y^{5} + 2[/tex]
Isolate y by subtracting 2 from both sides:
[tex]x - 2 = -y^5[/tex]
Multiply both sides by -1:
[tex]-(x-2) = y^5[/tex]
Take the 5th root of both sides:
[tex]y = \sqrt[5]{-(x-2)}[/tex]