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

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

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inverse of f(x)=sqrt(4-x^2)

inverse

f (x) = 4 - x^{2}

- x^{2} + 4, - - x^{2} + 4

Solution steps

y = 4 - x^{2}

Replace

x

with

y

x = 4 - y^{2}

Solve for

y, x = 4 - y^{2}

- x^{2} + 4, - - x^{2} + 4

f (x) = - 6

f (x) = \frac{1}{2} x^{4}

x^{4} - 9 x^{2}

f (x) = 9 x - 4

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