What is the inverse of f(x)=(3x^2-5x+2)/(3x-2) ?

The inverse of f(x)=(3x^2-5x+2)/(3x-2) is x+1

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inverse of f(x)=(3x^2-5x+2)/(3x-2)

inverse

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

x + 1

Solution steps

y = \frac{3 x ^{2} - 5 x + 2}{3 x - 2}

Replace

x

with

y

x = \frac{3 y ^{2} - 5 y + 2}{3 y - 2}

Solve for

y, x = \frac{3 y ^{2} - 5 y + 2}{3 y - 2}

x + 1

What is the inverse of f(x)=(3x^2-5x+2)/(3x-2) ?
The inverse of f(x)=(3x^2-5x+2)/(3x-2) is x+1