What is the inverse of f(x)=(10-3x)^{5/2} ?

The inverse of f(x)=(10-3x)^{5/2} is -(x^{2/5}-10)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(10-3x)^{5/2}

inverse

f (x) = (10 - 3 x)^{\frac{5}{2}}

- \frac{x ^{\frac{2}{5}} - 10}{3}

Solution steps

y = (10 - 3 x)^{\frac{5}{2}}

Replace

x

with

y

x = (10 - 3 y)^{\frac{5}{2}}

Solve for

y, x = (10 - 3 y)^{\frac{5}{2}}

- \frac{x ^{\frac{2}{5}} - 10}{3}

3 x + 2

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

3^{\frac{x + 4}{2}} \cdot \frac{1}{27}

x^{2} + 8

y = 2 x + 4

What is the inverse of f(x)=(10-3x)^{5/2} ?
The inverse of f(x)=(10-3x)^{5/2} is -(x^{2/5}-10)/3