34. What is the value of the function [tex]f(x) = -x + 4[/tex] when [tex]x = -2[/tex]?

A. 6
B. [tex]-6[/tex]
C. 2
D. [tex]-2[/tex]



Answer :

To determine the value of the function [tex]\( f(x) = -x + 4 \)[/tex] when [tex]\( x = -2 \)[/tex], follow these steps:

1. Identify the function: The function provided is [tex]\( f(x) = -x + 4 \)[/tex].

2. Substitute the given value of [tex]\( x \)[/tex]: Replace [tex]\( x \)[/tex] in the function with [tex]\(-2\)[/tex].

3. Perform the substitution:
[tex]\[ f(-2) = -(-2) + 4 \][/tex]

4. Simplify the expression:
[tex]\[ f(-2) = 2 + 4 \][/tex]

5. Add the numbers:
[tex]\[ f(-2) = 6 \][/tex]

So, the value of the function [tex]\( f(x) = -x + 4 \)[/tex] when [tex]\( x = -2 \)[/tex] is [tex]\( \boxed{6} \)[/tex].