What is the inverse of f(x)=sqrt(5-x^2) ?

The inverse of f(x)=sqrt(5-x^2) is sqrt(-x^2+5),-sqrt(-x^2+5)

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inverse of f(x)=sqrt(5-x^2)

inverse

f (x) = 5 - x^{2}

- x^{2} + 5, - - x^{2} + 5

Solution steps

y = 5 - x^{2}

Replace

x

with

y

x = 5 - y^{2}

Solve for

y, x = 5 - y^{2}

- x^{2} + 5, - - x^{2} + 5

f (x) = x + 4 + 3

f (x) = 4 x - 8

f (x) = \frac{3}{x} + 4

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

What is the inverse of f(x)=sqrt(5-x^2) ?
The inverse of f(x)=sqrt(5-x^2) is sqrt(-x^2+5),-sqrt(-x^2+5)