What is the inverse of f(x)=5x^2-10x+4 ?

The inverse of f(x)=5x^2-10x+4 is (10+sqrt(20x+20))/(10),(10-sqrt(20x+20))/(10)

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inverse of f(x)=5x^2-10x+4

inverse

f (x) = 5 x^{2} - 10 x + 4

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

Solution steps

y = 5 x^{2} - 10 x + 4

Replace

x

with

y

x = 5 y^{2} - 10 y + 4

Solve for

y, x = 5 y^{2} - 10 y + 4

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

f (x) = 9 lo g_{e} (9 x + 9)

- \frac{x + 6}{13}

f (x) = \frac{1}{2} (x + 1)^{2}

f (x) = (x - 3)^{2} - 8, x > 3

- 7 x - 4

What is the inverse of f(x)=5x^2-10x+4 ?
The inverse of f(x)=5x^2-10x+4 is (10+sqrt(20x+20))/(10),(10-sqrt(20x+20))/(10)