Question

consider the following piece - wise - defined function.
f(x)=\begin{cases}2x^{2}+x + 4& \text{if }xleq4\\3x + 2& \text{if }x>6end{cases}
step 1 of 3: evaluate this function at (x = 9). express your answer as an integer or simplified fraction. if the function is undefined at the given value, indicate undefined.
answer
selecting a radio button will replace the entered answer value(s) with the radio button value. if the radio button is not selected, the entered answer is used.
f(9)=squarequad\bigcirc\text{undefined}

Explanation:

Step1: Determine which part of function to use

Since \(x = 9>6\), we use \(f(x)=3x + 2\).

Step2: Substitute \(x = 9\) into the function

Substitute \(x = 9\) into \(f(x)=3x + 2\), we get \(f(9)=3\times9+2\).

Step3: Calculate the result

\(3\times9+2=27 + 2=29\).

Answer:

29