What is the inverse of f(x)=4x^2-2x+1 ?

The inverse of f(x)=4x^2-2x+1 is (1+sqrt(4x-3))/4 ,(1-sqrt(4x-3))/4

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inverse of f(x)=4x^2-2x+1

inverse

f (x) = 4 x^{2} - 2 x + 1

\frac{1 + 4 x - 3}{4}, \frac{1 - 4 x - 3}{4}

Solution steps

y = 4 x^{2} - 2 x + 1

Replace

x

with

y

x = 4 y^{2} - 2 y + 1

Solve for

y, x = 4 y^{2} - 2 y + 1

\frac{1 + 4 x - 3}{4}, \frac{1 - 4 x - 3}{4}

f (x) = \frac{x ^{2} - 12 x - 60}{16}

1 a^{0}

7 x^{2} + 4 x - 3

\frac{x ^{2}}{4} + 1

What is the inverse of f(x)=4x^2-2x+1 ?
The inverse of f(x)=4x^2-2x+1 is (1+sqrt(4x-3))/4 ,(1-sqrt(4x-3))/4