What is the inverse of f(x)=x^2-10x+24 ?

The inverse of f(x)=x^2-10x+24 is 5+sqrt(x+1),5-sqrt(x+1)

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inverse of f(x)=x^2-10x+24

inverse

f (x) = x^{2} - 10 x + 24

5 + x + 1, 5 - x + 1

Solution steps

y = x^{2} - 10 x + 24

Replace

x

with

y

x = y^{2} - 10 y + 24

Solve for

y, x = y^{2} - 10 y + 24

5 + x + 1, 5 - x + 1

f (x) = \frac{( 3 x + 7 )}{( 2 x - 5 )}

f (x) = x^{2} - 10 x + 21

- x + 16 - x

\frac{3 x}{7 x - 3}

f (x) = \frac{( - 2 x - 7 )}{( 6 x + 8 )}

What is the inverse of f(x)=x^2-10x+24 ?
The inverse of f(x)=x^2-10x+24 is 5+sqrt(x+1),5-sqrt(x+1)