Question

Consider the following functions.S(x) = x2 - 16 and g(x) == x + 4Step 4 of 4: Find(*)(*). simply your answer.AnswerKeypadKeyboard Shortcu(4)(x) =Submit Answer

Answer 1

Given the functions;

`\begin{gathered} f(x)=x^2-16 \\ \\ g(x)=x+4 \end{gathered}`

Then, we have;

`\begin{gathered} ((f)/(g))(x)=(f(x))/(g(x)) \\ \\ ((f)/(g))(x)=(x^2-16)/(x+4) \end{gathered}`

Then, simplify further;

`\begin{gathered} ((f)/(g))(x)=((x+4)(x-4))/(x+4) \\ \\ ((f)/(g))(x)=x-4 \end{gathered}`

ANSWER:

`((f)/(g))(x)= x-4`