Question

question 22 (3 points)
given ( f(x) = \begin{cases} -4x + 5 & ; x < 5 \\ -2x + 4 & ; x geq 5 end{cases} ). find ( f(9) ).
-14
-14 and -31
-45
-31

Explanation:

Step1: Determine the applicable function

Since \( x = 9 \) and \( 9 \geq 5 \), we use the function \( f(x)=-2x + 4 \).

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

Substitute \( x = 9 \) into \( f(x)=-2x + 4 \), we get \( f(9)=-2\times9 + 4 \).

Step3: Calculate the result

First, calculate \( -2\times9=-18 \), then \( -18 + 4=-14 \).

Answer:

-14 (corresponding to the option " -14 ")