What is the inverse of f(x)=2x^2-12x+5 ?

The inverse of f(x)=2x^2-12x+5 is (12+sqrt(8x+104))/4 ,(12-sqrt(8x+104))/4

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inverse of f(x)=2x^2-12x+5

inverse

f (x) = 2 x^{2} - 12 x + 5

\frac{12 + 8 x + 104}{4}, \frac{12 - 8 x + 104}{4}

Solution steps

y = 2 x^{2} - 12 x + 5

Replace

x

with

y

x = 2 y^{2} - 12 y + 5

Solve for

y, x = 2 y^{2} - 12 y + 5

\frac{12 + 8 x + 104}{4}, \frac{12 - 8 x + 104}{4}

y = lo g_{2} (4 x)

f (x) = lo g_{3} (2 x + 4) - 6

f (x) = \frac{7 x + 6}{x - 5}

\frac{2 x + 5}{3 x - 1}

f (x) = \frac{3 + 4 x}{2 - 5 x}

What is the inverse of f(x)=2x^2-12x+5 ?
The inverse of f(x)=2x^2-12x+5 is (12+sqrt(8x+104))/4 ,(12-sqrt(8x+104))/4