Question

Evaluate g(n-7) if g(x) =x^2-5 / 3x

Answer 1

`g(n-7)=(n^2-14n+44)/(3n-21)`

Explanation:

The given function is

`g(x)=(x^2-5)/(3x)`

To find g(n-7), we substitute x=n-7 to obtain;

`g(n-7)=((n-7)^2-5)/(3(n-7))`

Expand the parenthesis to obtain;

`g(n-7)=(n^2-14n+49-5)/(3n-21)`

Simplify:

`g(n-7)=(n^2-14n+44)/(3n-21)`