Let g(x) = x^2− x− 6. Simplify the following: (g(x + 3))/x

Question

Let g(x) = x²-x-6. Simplify the following: [g(x+3)]/x

I'm a little bit confused with substituting one function in more than one time...

Answer 1

g(X + 3) means you plug X + 3 for every X in g(X). So:

g(X + 3) / X = ((X + 3)^2 - ( (X + 3) - 6)) / X = (X^2 + 6X + 9 - X - 3 -6) / x = (X^2 + 5X) / x = X(X + 5) / X = X + 5

Answer 2

[(x + 3)² - (x + 3) - 6] / x