What is the inverse of f(x)=(-(sqrt(x)+17))/4 ?

The inverse of f(x)=(-(sqrt(x)+17))/4 is 289+136x+16x^2

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inverse of f(x)=(-(sqrt(x)+17))/4

inverse

f (x) = \frac{- ( x + 17 )}{4}

289 + 136 x + 16 x^{2}

Solution steps

y = \frac{- ( x + 17 )}{4}

Replace

x

with

y

x = \frac{- ( y + 17 )}{4}

Solve for

y, x = \frac{- ( y + 17 )}{4}

289 + 136 x + 16 x^{2}

f (x) = \frac{4 ( x - 11 )}{3}

f (x) = \frac{2 x}{x ^{2} + 6}

- 9.5

f (7) = 0.5 (3) x

f (x) = 4 x + 23

What is the inverse of f(x)=(-(sqrt(x)+17))/4 ?
The inverse of f(x)=(-(sqrt(x)+17))/4 is 289+136x+16x^2