to get the inverse of any expression, start off by doing a switcharoo on the variables.
[tex]\bf y=5x^2+10\qquad inverse\implies \boxed{x}=5\boxed{y}^2+10
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x-10=5y^2\implies \cfrac{x-10}{5}=y^2\implies \sqrt{\cfrac{x-10}{5}}=y\impliedby f^{-1}(x)[/tex]