What is the inverse of f(x)=5x^2+10x+20 ?

The inverse of f(x)=5x^2+10x+20 is (-10+sqrt(20x-300))/(10),(-10-sqrt(20x-300))/(10)

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inverse of f(x)=5x^2+10x+20

inverse

f (x) = 5 x^{2} + 10 x + 20

\frac{- 10 + 20 x - 300}{10}, \frac{- 10 - 20 x - 300}{10}

Solution steps

y = 5 x^{2} + 10 x + 20

Replace

x

with

y

x = 5 y^{2} + 10 y + 20

Solve for

y, x = 5 y^{2} + 10 y + 20

\frac{- 10 + 20 x - 300}{10}, \frac{- 10 - 20 x - 300}{10}

What is the inverse of f(x)=5x^2+10x+20 ?
The inverse of f(x)=5x^2+10x+20 is (-10+sqrt(20x-300))/(10),(-10-sqrt(20x-300))/(10)