What is the inverse of f(x)=-(sqrt(x)-17)/(12) ?

The inverse of f(x)=-(sqrt(x)-17)/(12) is 289-408x+144x^2

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inverse of f(x)=-(sqrt(x)-17)/(12)

inverse

f (x) = - \frac{x - 17}{12}

289 - 408 x + 144 x^{2}

Solution steps

y = - \frac{x - 17}{12}

Replace

x

with

y

x = - \frac{y - 17}{12}

Solve for

y, x = - \frac{y - 17}{12}

289 - 408 x + 144 x^{2}

f (x) = \frac{4 x + 1}{5 x - 2}

- \frac{3}{4} x + 12

72 x^{\frac{1}{2}}

\frac{( 2 x + 9 )}{9 x - 4}

f (x) = - x^{2} + 5, x \geq 0

What is the inverse of f(x)=-(sqrt(x)-17)/(12) ?
The inverse of f(x)=-(sqrt(x)-17)/(12) is 289-408x+144x^2