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

The inverse of f(x)=x^2-5x+3 is (5+sqrt(4x+13))/2 ,(5-sqrt(4x+13))/2

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

inverse

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

\frac{5 + 4 x + 13}{2}, \frac{5 - 4 x + 13}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{5 + 4 x + 13}{2}, \frac{5 - 4 x + 13}{2}

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

f (x) = (2 x)^{- \frac{9}{7}}

f (x) = 2^{- 3}

y = f (t) = 9 t + 8

4 - x^{2} + 1

What is the inverse of f(x)=x^2-5x+3 ?
The inverse of f(x)=x^2-5x+3 is (5+sqrt(4x+13))/2 ,(5-sqrt(4x+13))/2