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Given the function, find the indicated value.

[tex]\[ f(x) = x^2 - 5x - 6 \][/tex]

Find [tex]\( f(-4) \)[/tex].

A. [tex]\(-10\)[/tex]
B. 30
C. 2
D. 42

Answer :

To find the value of the function [tex]\( f(x) = x^2 - 5x - 6 \)[/tex] at [tex]\( x = -4 \)[/tex], you just need to substitute [tex]\(-4\)[/tex] into the function in place of [tex]\( x \)[/tex].

Here's how you do it step-by-step:

1. Start with the given function:
[tex]\[
f(x) = x^2 - 5x - 6
\][/tex]

2. Substitute [tex]\( x = -4 \)[/tex] into the function:
[tex]\[
f(-4) = (-4)^2 - 5(-4) - 6
\][/tex]

3. Calculate each part:
- [tex]\((-4)^2 = 16\)[/tex]
- [tex]\(-5 \times (-4) = 20\)[/tex]

4. Plug these values back into the equation:
[tex]\[
f(-4) = 16 + 20 - 6
\][/tex]

5. Add and subtract the numbers:
[tex]\[
16 + 20 = 36
\][/tex]
[tex]\[
36 - 6 = 30
\][/tex]

So, the value of [tex]\( f(-4) \)[/tex] is 30.

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