What is the inverse of f(x)=5x^2+20x-17 ?

The inverse of f(x)=5x^2+20x-17 is (-20+sqrt(20x+740))/(10),(-20-sqrt(20x+740))/(10)

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inverse of f(x)=5x^2+20x-17

inverse

f (x) = 5 x^{2} + 20 x - 17

\frac{- 20 + 20 x + 740}{10}, \frac{- 20 - 20 x + 740}{10}

Solution steps

y = 5 x^{2} + 20 x - 17

Replace

x

with

y

x = 5 y^{2} + 20 y - 17

Solve for

y, x = 5 y^{2} + 20 y - 17

\frac{- 20 + 20 x + 740}{10}, \frac{- 20 - 20 x + 740}{10}

What is the inverse of f(x)=5x^2+20x-17 ?
The inverse of f(x)=5x^2+20x-17 is (-20+sqrt(20x+740))/(10),(-20-sqrt(20x+740))/(10)