Question

If f(x) = 4x² + 1 and g(x)=x²-5, find (f+ g)(x).OA. 3x²-4OB. 5x2-4O C. 5x²-6OD. 3x² +6

Answer 1

Explanation:

The functions are givenm below as

$\begin{gathered} f(x)=4x^2+1 \\ g(x)=x^2-5 \end{gathered}$

Find:

$(f+g)(x)$

To figure out the value of the function above, we will use the formula below

$(f+g)(x)=f(x)+g(x)$

By substituting the functions, we will have

$\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=4x^2+1+x^2-5 \\ collect\text{ similar terms, we will have} \\ (f+g)(x)=4x^2+x^2+1-5 \\ (f+g)(x)=5x^2-4 \end{gathered}$

Hence,

The final answer is

$\begin{equation*} 5x^2-4 \end{equation*}$

OPTION B is the correct answer