Rewrite the rational function g(x) =x-9/x in the form g(x) = c+ r/x, where c and r are constants.

Step-by-step explanation:

Given the rational function g(x) =(x-9)/x, we are to express in the form g(x) = c+ r/x, where c and r are constants.

g(x) = (x-9)/x

Expressing as partial fraction since they have the same denominator

g(x) = x/x - 9/x

Since x/x = 1, hence;

g(x) = 1 - 9/x

Comparing with g(x) = c+ r/x, c= 1 and r = -9

Hence the equivalent expression is g(x) = 1 - 9/x