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

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

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

inverse

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

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

Solution steps

y = x^{2} - 4

Replace

x

with

y

x = y^{2} - 4

Solve for

y, x = y^{2} - 4

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

4 - x^{2} - x + 1

\frac{2 x ^{2} + x - 15}{5 x ^{2} - 28 x + 15}

2 x - 5 y = 10

f (x) = 3^{x - 1}

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

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