What is the inverse of f(x)=sqrt(x^2+4x-45) ?

The inverse of f(x)=sqrt(x^2+4x-45) is -2+sqrt(x^2+49),-sqrt(x^2+49)-2

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inverse of f(x)=sqrt(x^2+4x-45)

inverse

f (x) = x^{2} + 4 x - 45

- 2 + x^{2} + 49, - x^{2} + 49 - 2

Solution steps

y = x^{2} + 4 x - 45

Replace

x

with

y

x = y^{2} + 4 y - 45

Solve for

y, x = y^{2} + 4 y - 45

- 2 + x^{2} + 49, - x^{2} + 49 - 2

\frac{( x + 4 )}{( x + 7 )}

\frac{4}{- x + 4}

\frac{x + 9}{x - 9}

5 x + 6

\frac{1}{s ^{2} + 3 s + 2}

What is the inverse of f(x)=sqrt(x^2+4x-45) ?
The inverse of f(x)=sqrt(x^2+4x-45) is -2+sqrt(x^2+49),-sqrt(x^2+49)-2