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

The inverse of f(x)=sqrt(x)+sqrt(3-x) is (3+xsqrt(-x^2+6))/2 ,(3-xsqrt(-x^2+6))/2

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inverse of f(x)=sqrt(x)+sqrt(3-x)

inverse

f (x) = x + 3 - x

\frac{3 + x - x ^{2} + 6}{2}, \frac{3 - x - x ^{2} + 6}{2}

Solution steps

y = x + 3 - x

Replace

x

with

y

x = y + 3 - y

Solve for

y, x = y + 3 - y

\frac{3 + x - x ^{2} + 6}{2}, \frac{3 - x - x ^{2} + 6}{2}

e^{3 x} cos (2 x)

\frac{x + 4}{20}

2 x + 3 y = 12

(- 3, 2), (2, - 5)

y = 3 x, (- 3, - 5)

What is the inverse of f(x)=sqrt(x)+sqrt(3-x) ?
The inverse of f(x)=sqrt(x)+sqrt(3-x) is (3+xsqrt(-x^2+6))/2 ,(3-xsqrt(-x^2+6))/2