Given the function ( 4x + 4 x < 0 f(x) = { 4x + 8 x > 0 Calculate the following values: f( – 1) = f(0) = f(2) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question 5**

Given the function 

\[ 
f(x) = 
\begin{cases} 
4x + 4 & \text{if } x < 0 \\ 
4x + 8 & \text{if } x \geq 0 
\end{cases} 
\]

Calculate the following values:

\[ 
f(-1) = \, \_\_\_\_ 
\]

\[ 
f(0) = \, \_\_\_\_ 
\]

\[ 
f(2) = \, \_\_\_\_ 
\]
Transcribed Image Text:**Question 5** Given the function \[ f(x) = \begin{cases} 4x + 4 & \text{if } x < 0 \\ 4x + 8 & \text{if } x \geq 0 \end{cases} \] Calculate the following values: \[ f(-1) = \, \_\_\_\_ \] \[ f(0) = \, \_\_\_\_ \] \[ f(2) = \, \_\_\_\_ \]
**Question 7**

Given that \( f(x) = 6x - 2 \) and \( g(x) = 6 - x^2 \), calculate: 

(a) \( f(g(0)) = \)  \_\_\_\_\_\_\_\_

(b) \( g(f(0)) = \)  \_\_\_\_\_\_\_\_
Transcribed Image Text:**Question 7** Given that \( f(x) = 6x - 2 \) and \( g(x) = 6 - x^2 \), calculate: (a) \( f(g(0)) = \) \_\_\_\_\_\_\_\_ (b) \( g(f(0)) = \) \_\_\_\_\_\_\_\_
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