Please show steps on how to solve this problem Find the inve

Please show steps on how to solve this problem:

Find the inverse function of g.

g(x) = x^2 -6x +5

y =x^2 -6x +5

To finjd inverse plug x= y and y=x ans olve for y:

x = y^2 -6y +5

y^2 -6y +5 -x =0

Now solve for y using quadratice root formula:

y = (-b + /- sqrt(b^2 -4ac))/2a

= ( 6+ /- sqrt( 36 -4(5-x) )/2

= ( 6 + /- sqrt( 16 +4x) /2

Now for x<3 root we take only -sqrt( 16 +4x)

So, y = (6 -sqrt(16+4x)/2

f^-1(x) = (6 -sqrt(16+4x)/2