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

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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}

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