Answer:
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
