What is the inverse of f(x)=sqrt(4(1-x^2)) ?

The inverse of f(x)=sqrt(4(1-x^2)) is sqrt(-(x^2-4)/4),-sqrt(-(x^2-4)/4)

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inverse of f(x)=sqrt(4(1-x^2))

inverse

f (x) = 4 (1 - x^{2})

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

Solution steps

y = 4 (1 - x^{2})

Replace

x

with

y

x = 4 (1 - y^{2})

Solve for

y, x = 4 (1 - y^{2})

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

What is the inverse of f(x)=sqrt(4(1-x^2)) ?
The inverse of f(x)=sqrt(4(1-x^2)) is sqrt(-(x^2-4)/4),-sqrt(-(x^2-4)/4)