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Answer :
To find the value of [tex]\( f(-4) \)[/tex] for the function [tex]\( f(x) = x^2 - 5x - 6 \)[/tex], follow these steps:
1. Substitute [tex]\(-4\)[/tex] into the function: Replace [tex]\( x \)[/tex] with [tex]\(-4\)[/tex].
[tex]\[
f(-4) = (-4)^2 - 5(-4) - 6
\][/tex]
2. Calculate [tex]\((-4)^2\)[/tex]:
[tex]\[
(-4)^2 = 16
\][/tex]
3. Calculate [tex]\(-5(-4)\)[/tex]:
[tex]\[
-5 \times (-4) = 20
\][/tex]
4. Perform the final calculation by combining all the terms:
[tex]\[
f(-4) = 16 + 20 - 6 = 30
\][/tex]
So, the value of [tex]\( f(-4) \)[/tex] is [tex]\( 30 \)[/tex].
1. Substitute [tex]\(-4\)[/tex] into the function: Replace [tex]\( x \)[/tex] with [tex]\(-4\)[/tex].
[tex]\[
f(-4) = (-4)^2 - 5(-4) - 6
\][/tex]
2. Calculate [tex]\((-4)^2\)[/tex]:
[tex]\[
(-4)^2 = 16
\][/tex]
3. Calculate [tex]\(-5(-4)\)[/tex]:
[tex]\[
-5 \times (-4) = 20
\][/tex]
4. Perform the final calculation by combining all the terms:
[tex]\[
f(-4) = 16 + 20 - 6 = 30
\][/tex]
So, the value of [tex]\( f(-4) \)[/tex] is [tex]\( 30 \)[/tex].
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