What is the inverse of f(x)=4x^2-24x+7 ?

The inverse of f(x)=4x^2-24x+7 is (6+sqrt(x+29))/2 ,(6-sqrt(x+29))/2

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inverse of f(x)=4x^2-24x+7

inverse

f (x) = 4 x^{2} - 24 x + 7

\frac{6 + x + 29}{2}, \frac{6 - x + 29}{2}

Solution steps

y = 4 x^{2} - 24 x + 7

Replace

x

with

y

x = 4 y^{2} - 24 y + 7

Solve for

y, x = 4 y^{2} - 24 y + 7

\frac{6 + x + 29}{2}, \frac{6 - x + 29}{2}

h (x) = \frac{x - 6}{7 x + 3}

arctan (\frac{x}{4})

21

f (x) = 5 3 x - 1

\frac{x - 3}{5}

What is the inverse of f(x)=4x^2-24x+7 ?
The inverse of f(x)=4x^2-24x+7 is (6+sqrt(x+29))/2 ,(6-sqrt(x+29))/2