What is the inverse of f(x)=x^2+6x-16 ?

The inverse of f(x)=x^2+6x-16 is -3+sqrt(x+25),-sqrt(x+25)-3

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inverse of f(x)=x^2+6x-16

inverse

f (x) = x^{2} + 6 x - 16

- 3 + x + 25, - x + 25 - 3

Solution steps

y = x^{2} + 6 x - 16

Replace

x

with

y

x = y^{2} + 6 y - 16

Solve for

y, x = y^{2} + 6 y - 16

- 3 + x + 25, - x + 25 - 3

\frac{x + 3}{x - 2}

f (x) = \frac{4 x}{x ^{2} + 4}

\frac{7 x}{2 x - 3}

f (x) = - 4 x + 8

f (x) = - 3 sin (2 x + \frac{π}{2})

What is the inverse of f(x)=x^2+6x-16 ?
The inverse of f(x)=x^2+6x-16 is -3+sqrt(x+25),-sqrt(x+25)-3