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

The inverse of f(x)=2x^2-12x+7 is (12+sqrt(8x+88))/4 ,(12-sqrt(8x+88))/4

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

inverse

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

\frac{12 + 8 x + 88}{4}, \frac{12 - 8 x + 88}{4}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{12 + 8 x + 88}{4}, \frac{12 - 8 x + 88}{4}

4 - 6 (n - 1)

f (x) = 4 x + 6

f (x) = \frac{x}{8 x - 7}

f (x) = \frac{( 3 x - 2 )}{4}

f (x) = 3 y^{2} + \frac{- 6}{4}

What is the inverse of f(x)=2x^2-12x+7 ?
The inverse of f(x)=2x^2-12x+7 is (12+sqrt(8x+88))/4 ,(12-sqrt(8x+88))/4