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Answer :
Sure! Let's find [tex]\( f(-5) \)[/tex] using the function [tex]\( f(x) = 4x^2 - 6 \)[/tex].
1. Substitute [tex]\(-5\)[/tex] into the function:
We're asked to find [tex]\( f(-5) \)[/tex], which means we substitute [tex]\(-5\)[/tex] in place of [tex]\( x \)[/tex] in the function.
2. Calculate the expression:
[tex]\[
f(-5) = 4(-5)^2 - 6
\][/tex]
3. Evaluate the squared term:
[tex]\[
(-5)^2 = 25
\][/tex]
4. Multiply by 4:
[tex]\[
4 \times 25 = 100
\][/tex]
5. Subtract 6 from the result:
[tex]\[
100 - 6 = 94
\][/tex]
Therefore, [tex]\( f(-5) = 94 \)[/tex]. So, the correct answer is 94.
1. Substitute [tex]\(-5\)[/tex] into the function:
We're asked to find [tex]\( f(-5) \)[/tex], which means we substitute [tex]\(-5\)[/tex] in place of [tex]\( x \)[/tex] in the function.
2. Calculate the expression:
[tex]\[
f(-5) = 4(-5)^2 - 6
\][/tex]
3. Evaluate the squared term:
[tex]\[
(-5)^2 = 25
\][/tex]
4. Multiply by 4:
[tex]\[
4 \times 25 = 100
\][/tex]
5. Subtract 6 from the result:
[tex]\[
100 - 6 = 94
\][/tex]
Therefore, [tex]\( f(-5) = 94 \)[/tex]. So, the correct answer is 94.
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