What is the inverse of f(x)=(-16x+13)^2 ?

The inverse of f(x)=(-16x+13)^2 is -(sqrt(x)-13)/(16),-(-sqrt(x)-13)/(16)

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inverse of f(x)=(-16x+13)^2

inverse

f (x) = (- 16 x + 13)^{2}

- \frac{x - 13}{16}, - \frac{- x - 13}{16}

Solution steps

y = (- 16 x + 13)^{2}

Replace

x

with

y

x = (- 16 y + 13)^{2}

Solve for

y, x = (- 16 y + 13)^{2}

- \frac{x - 13}{16}, - \frac{- x - 13}{16}

What is the inverse of f(x)=(-16x+13)^2 ?
The inverse of f(x)=(-16x+13)^2 is -(sqrt(x)-13)/(16),-(-sqrt(x)-13)/(16)