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Solve for [tex]\( x \)[/tex]:

[tex]\[ 3x = 6x - 2 \][/tex]



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9 points
If [tex]$f(x)=-x^3+7$[/tex], find [tex]$f(-3)$[/tex]
[tex]$-20$[/tex]
16
34
[tex]$-2$[/tex]
Previous
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Response:

For 9 points, if [tex]\( f(x) = -x^3 + 7 \)[/tex], find [tex]\( f(-3) \)[/tex]:

A. [tex]\( -20 \)[/tex]
B. 16
C. 34
D. [tex]\( -2 \)[/tex]



Answer :

GinnyAnswer
To solve this problem, we need to evaluate the function [tex]\( f(x) = -x^3 + 7 \)[/tex] at [tex]\( x = -3 \)[/tex].

Step-by-Step Solution:

1. Identify the given function:
[tex]\[ f(x) = -x^3 + 7 \][/tex]

2. Substitute [tex]\( x = -3 \)[/tex] into the function:
[tex]\[ f(-3) = -(-3)^3 + 7 \][/tex]

3. Calculate [tex]\((-3)^3\)[/tex]:
[tex]\[ (-3)^3 = (-3) \times (-3) \times (-3) = -27 \][/tex]

4. Multiply the result by -1 (as indicated by the function):
[tex]\[ -(-27) = 27 \][/tex]

5. Add 7 to the result:
[tex]\[ 27 + 7 = 34 \][/tex]

So, [tex]\( f(-3) = 34 \)[/tex].

Therefore, the correct answer is:
[tex]\[ \boxed{34} \][/tex]

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