What is the inverse of y=4x^2+34x ?

The inverse of y=4x^2+34x is (-17+sqrt(4x+289))/4 ,-(sqrt(4x+289)+17)/4

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inverse of y=4x^2+34x

inverse

y = 4 x^{2} + 34 x

\frac{- 17 + 4 x + 289}{4}, - \frac{4 x + 289 + 17}{4}

Solution steps

y = 4 x^{2} + 34 x

Replace

x

with

y

x = 4 y^{2} + 34 y

Solve for

y, x = 4 y^{2} + 34 y

\frac{- 17 + 4 x + 289}{4}, - \frac{4 x + 289 + 17}{4}

f (x) = x (500 - 2 x)

f (x) = \frac{( x - 2 )}{( x + 7 )}

f (x) = 100 (4 - 4 y)

f (x) = (x - 20)^{2}

f (x) = x^{21}

What is the inverse of y=4x^2+34x ?
The inverse of y=4x^2+34x is (-17+sqrt(4x+289))/4 ,-(sqrt(4x+289)+17)/4