逆 f(x)=sqrt(5x^4+2x^2)

解

逆

f (x) = 5 x^{4} + 2 x^{2}

\frac{- 1 + 5 x ^{2} + 1}{5}, - \frac{- 1 + 5 x ^{2} + 1}{5}, - \frac{5 x ^{2} + 1 + 1}{5}, - - \frac{5 x ^{2} + 1 + 1}{5}

解答ステップ

y = 5 x^{4} + 2 x^{2}

x

を以下で置き換える:

y

x = 5 y^{4} + 2 y^{2}

y

を解く

x = 5 y^{4} + 2 y^{2}

\frac{- 1 + 5 x ^{2} + 1}{5}, - \frac{- 1 + 5 x ^{2} + 1}{5}, - \frac{5 x ^{2} + 1 + 1}{5}, - - \frac{5 x ^{2} + 1 + 1}{5}