zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

solvefor x,f^{-1}(x)=sqrt(2x)

解答

求解

x, f^{- 1} (x) = 2 x

解答

x = 2 f^{2} {f > 0}, x = 0 {f < 0 or f > 0}

求解步骤

f^{- 1} (x) = 2 x

展开

f^{- 1} x : \frac{x}{f}

\frac{x}{f} = 2 x

两边进行平方:

\frac{x ^{2}}{f ^{2}} = 2 x

\frac{x ^{2}}{f ^{2}} = 2 x

解

\frac{x ^{2}}{f ^{2}} = 2 x : x = 2 f^{2}, x = 0

x = 2 f^{2}, x = 0

验证解:

x = 2 f^{2} {f > 0}, x = 0 {f < 0 or f > 0}

解为

x = 2 f^{2} {f > 0}, x = 0 {f < 0 or f > 0}

作图

流行的例子

sqrt(x)+sqrt(x-12)=2

x + x - 12 = 2

5=sqrt(x^2+3^2)

5 = x^{2} + 3^{2}

x^2+sqrt(2x)-1=5

x^{2} + 2 x - 1 = 5

sqrt(x+5)-sqrt(x-2)=1

x + 5 - x - 2 = 1

sqrt(x+14)-sqrt(3x-10)=0

x + 14 - 3 x - 10 = 0