Question

The rational function

g(x)=
x
x+10
​
can be rewritten in the form
g(x)=c+
x
r
​
, where c and r are constants. Which expression is the result?

Answer 1

To rewrite the rational function g(x) = x/(x+10) in the form g(x) = c + x/r, we can use partial fraction decomposition.

Step-by-step explanation:

The rational function g(x) = x/(x+10) can be rewritten in the form g(x) = c + x/r, where c and r are constants. To find the values of c and r, we can use the concept of partial fraction decomposition.

We can rewrite g(x) as g(x) = 1 + 10/(x+10), and then apply partial fraction decomposition to get g(x) = 1 + A/(x+10).

After finding the value of A, we can rewrite g(x) as g(x) = 1 + x/(x+10).