What is the inverse of f(x)=sqrt(4-x)+sqrt(x-2) ?

The inverse of f(x)=sqrt(4-x)+sqrt(x-2) is (6+xsqrt(-x^2+4))/2 ,(6-xsqrt(-x^2+4))/2

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(4-x)+sqrt(x-2)

inverse

f (x) = 4 - x + x - 2

\frac{6 + x - x ^{2} + 4}{2}, \frac{6 - x - x ^{2} + 4}{2}

Solution steps

y = 4 - x + x - 2

Replace

x

with

y

x = 4 - y + y - 2

Solve for

y, x = 4 - y + y - 2

\frac{6 + x - x ^{2} + 4}{2}, \frac{6 - x - x ^{2} + 4}{2}

\frac{2 x + 4}{x - 1}

\frac{s + 3}{( s ^{2} - 9 ) ( s + 1 )}

f (x) = - 2 x^{2} + 8 x - 7, x > 2

lo g_{2} (11 x) + 4

f (x) = 4 cos (π x + \frac{π}{2})

What is the inverse of f(x)=sqrt(4-x)+sqrt(x-2) ?
The inverse of f(x)=sqrt(4-x)+sqrt(x-2) is (6+xsqrt(-x^2+4))/2 ,(6-xsqrt(-x^2+4))/2