What is the inverse of f(x)=sqrt(x^2+7) ?

The inverse of f(x)=sqrt(x^2+7) is sqrt(x^2-7),-sqrt(x^2-7)

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inverse of f(x)=sqrt(x^2+7)

inverse

f (x) = x^{2} + 7

x^{2} - 7, - x^{2} - 7

Solution steps

y = x^{2} + 7

Replace

x

with

y

x = y^{2} + 7

Solve for

y, x = y^{2} + 7

x^{2} - 7, - x^{2} - 7

\frac{x - 7}{x - 4}

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

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

f (x) = \frac{7 x}{6 x - 7}

f (x) = 7 x + y = 14

What is the inverse of f(x)=sqrt(x^2+7) ?
The inverse of f(x)=sqrt(x^2+7) is sqrt(x^2-7),-sqrt(x^2-7)