What is the inverse of f(x)=6*x*(x-1)+1 ?

The inverse of f(x)=6*x*(x-1)+1 is (6+sqrt(24x+12))/(12),(6-sqrt(24x+12))/(12)

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inverse of f(x)=6x(x-1)+1

inverse

f (x) = 6 \cdot x \cdot (x - 1) + 1

\frac{6 + 24 x + 12}{12}, \frac{6 - 24 x + 12}{12}

Solution steps

y = 6 x (x - 1) + 1

Replace

x

with

y

x = 6 y (y - 1) + 1

Solve for

y, x = 6 \cdot y \cdot (y - 1) + 1

\frac{6 + 24 x + 12}{12}, \frac{6 - 24 x + 12}{12}

f (x) = 2 x^{\frac{1}{5}} - 5

cos (x) - 1

ln (y) = a \cdot ln (x)

\frac{( x + 2 )}{( x + 10 )}

f (x) = 0.845

What is the inverse of f(x)=6*x*(x-1)+1 ?
The inverse of f(x)=6*x*(x-1)+1 is (6+sqrt(24x+12))/(12),(6-sqrt(24x+12))/(12)