Question

1. $f(x) = -2x + 5$; find $f(6)$
2. $f(x) = -2|x - 3| + 4$; find $f(9)$

Explanation:

Problem 8:

Step1: Substitute \( x = 6 \) into \( f(x) \)

Given \( f(x)=-2x + 5 \), replace \( x \) with \( 6 \): \( f(6)=-2(6)+5 \)

Step2: Calculate the value

First, calculate \( -2(6)=-12 \), then add \( 5 \): \( -12 + 5=-7 \)

Step1: Substitute \( x = 9 \) into \( f(x) \)

Given \( f(x)=-2|x - 3|+4 \), replace \( x \) with \( 9 \): \( f(9)=-2|9 - 3|+4 \)

Step2: Simplify the absolute value

Calculate \( |9 - 3|=|6| = 6 \), so the expression becomes \( -2(6)+4 \)

Step3: Calculate the value

First, \( -2(6)=-12 \), then add \( 4 \): \( -12 + 4=-8 \)

Answer:

\( -7 \)

Problem 10: