What is the inverse of f(x)=0.8x^2+2.4x+1 ?

The inverse of f(x)=0.8x^2+2.4x+1 is (-3+sqrt(5x+4))/2 ,-(sqrt(5x+4)+3)/2

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inverse of f(x)=0.8x^2+2.4x+1

inverse

f (x) = 0.8 x^{2} + 2.4 x + 1

\frac{- 3 + 5 x + 4}{2}, - \frac{5 x + 4 + 3}{2}

Solution steps

y = 0.8 x^{2} + 2.4 x + 1

Replace

x

with

y

x = 0.8 y^{2} + 2.4 y + 1

Solve for

y, x = 0.8 y^{2} + 2.4 y + 1

\frac{- 3 + 5 x + 4}{2}, - \frac{5 x + 4 + 3}{2}

f (x) = 7 x^{2} + 8

1.33

f (8) = 2 x + 9

- 2 (x - 1)^{2} + 3

e^{1 - \frac{x ^{2}}{8}}

What is the inverse of f(x)=0.8x^2+2.4x+1 ?
The inverse of f(x)=0.8x^2+2.4x+1 is (-3+sqrt(5x+4))/2 ,-(sqrt(5x+4)+3)/2