SOLUTION: for the given functions f and g, find the requested composite function value. Given f(x)= x-6/x and g(x)=x^2+9, find (g 0 f)(-2)

Algebra ->  Rational-functions -> SOLUTION: for the given functions f and g, find the requested composite function value. Given f(x)= x-6/x and g(x)=x^2+9, find (g 0 f)(-2)      Log On


   



Question 798901: for the given functions f and g, find the requested composite function value.
Given f(x)= x-6/x and g(x)=x^2+9, find (g 0 f)(-2)

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x-6/x and g(x)=x^2+9
(gof) = (x - 6/x)^2 + 9
(gof) = x^2 - 12x + 36/x^2 + 9
Common denominator = x^2
(gof)= x^2 - 12x + 36 + 9x^2
(gof) = 10x^2 - 12x + 36
(gof) (-2) = 10(-2)^2 - 12(-2) + 36
(gof)(-2) = 40 + 24 + 36
(gof)(-2) = 100.
Hope this helps.
:-)