Question

consider the following piece - wise - defined function.
f(x)=\begin{cases}\frac{3}{4}x - 3&\text{if }x < 4\\x + 5&\text{if }xgeq4end{cases}
step 2 of 3: evaluate this function at (x = 4). 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(4)=squarequad\bigcirc\text{undefined}

Explanation:

Step1: Determine which part to use

Since \(x = 4\) and the second - part of the piece - wise function is for \(x\geq4\), we use \(f(x)=x + 5\).

Step2: Substitute \(x = 4\)

Substitute \(x = 4\) into \(f(x)=x + 5\), we get \(f(4)=4 + 5\).

Step3: Calculate the result

\(4+5=9\).

Answer:

9