Question

F(x)=x^2 -10x+27, x>5; find the inverse

Answer 1

First take it to the completed square form

Answer 2

Like :x-27=y(y-10)?

Answer 3

Or no?

Answer 4

F(x)=x^2 -10x+27
=x^2-2*x*5+5^2-5^2+27
=(x-5)^2+2

Answer 5

Solve[ y == x^2 - 10 x + 27,x]
\[
x=\sqrt{y-2}+5
\\
y=\sqrt{x-2}+5
\]