Question

Let f(x) = x²-9 and g(x) = x-9. Identify the simplified version of (f(x))/(g(x))

Answer 1

To simplify (f(x))/(g(x)), divide the numerator by the denominator and cancel out any common factors.

Step-by-step explanation:

To simplify (f(x))/(g(x)), we need to divide the numerator by the denominator.

Given that f(x) = x²-9 and g(x) = x-9, we can substitute these values into the expression:

(x²-9)/(x-9)

Now, we can factor the numerator as the difference of squares:

((x+3)(x-3))/(x-9)

Next, we can cancel out the common factor of (x-3) in the numerator and denominator:

(x+3)/(1)

So, the simplified version of (f(x))/(g(x)) is x+3.