What is the inverse of f(x)=3x^2-12x+7 ?

The inverse of f(x)=3x^2-12x+7 is (12+sqrt(12x+60))/6 ,(12-sqrt(12x+60))/6

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inverse of f(x)=3x^2-12x+7

inverse

f (x) = 3 x^{2} - 12 x + 7

\frac{12 + 12 x + 60}{6}, \frac{12 - 12 x + 60}{6}

Solution steps

y = 3 x^{2} - 12 x + 7

Replace

x

with

y

x = 3 y^{2} - 12 y + 7

Solve for

y, x = 3 y^{2} - 12 y + 7

\frac{12 + 12 x + 60}{6}, \frac{12 - 12 x + 60}{6}

What is the inverse of f(x)=3x^2-12x+7 ?
The inverse of f(x)=3x^2-12x+7 is (12+sqrt(12x+60))/6 ,(12-sqrt(12x+60))/6