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

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

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

inverse

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

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

Solution steps

y = x^{2} + 5

Replace

x

with

y

x = y^{2} + 5

Solve for

y, x = y^{2} + 5

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

f (x) = x + 2 + 9

f (x) = \frac{1}{2 x + 2}

f (x) = \frac{3}{4} x - 1

3 + ln (x)

f (x) = 3^{4 x}

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