What is the inverse of f(x)=sqrt(12-2x)+3/2 ?

The inverse of f(x)=sqrt(12-2x)+3/2 is -(4x^2-12x-39)/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=sqrt(12-2x)+3/2

inverse

f (x) = 12 - 2 x + \frac{3}{2}

- \frac{4 x ^{2} - 12 x - 39}{8}

Solution steps

y = 12 - 2 x + \frac{3}{2}

Replace

x

with

y

x = 12 - 2 y + \frac{3}{2}

Solve for

y, x = 12 - 2 y + \frac{3}{2}

- \frac{4 x ^{2} - 12 x - 39}{8}

- 2 x^{2} + x - 1

f (x) = 3 - x + 6

6 + 2^{7 x - 1}

f (x) = (x - 9)^{2}, x \leq 9

f (x) = 1 - (\frac{1}{( 0.15 x + 1 )})

What is the inverse of f(x)=sqrt(12-2x)+3/2 ?
The inverse of f(x)=sqrt(12-2x)+3/2 is -(4x^2-12x-39)/8