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Answer :
To find [tex]\( f(-5) \)[/tex] for the function [tex]\( f(x) = x^2 - 1 \)[/tex], follow these steps:
1. Substitute -5 into the function: Replace [tex]\( x \)[/tex] with [tex]\(-5\)[/tex] in the expression for [tex]\( f(x) \)[/tex].
[tex]\( f(-5) = (-5)^2 - 1 \)[/tex]
2. Calculate the square: Taking [tex]\(-5\)[/tex] and squaring it gives
[tex]\((-5)^2 = 25\)[/tex].
3. Subtract 1: Now, subtract 1 from 25.
[tex]\(25 - 1 = 24\)[/tex].
So, the value of [tex]\( f(-5) \)[/tex] is 24, which corresponds to option D.
1. Substitute -5 into the function: Replace [tex]\( x \)[/tex] with [tex]\(-5\)[/tex] in the expression for [tex]\( f(x) \)[/tex].
[tex]\( f(-5) = (-5)^2 - 1 \)[/tex]
2. Calculate the square: Taking [tex]\(-5\)[/tex] and squaring it gives
[tex]\((-5)^2 = 25\)[/tex].
3. Subtract 1: Now, subtract 1 from 25.
[tex]\(25 - 1 = 24\)[/tex].
So, the value of [tex]\( f(-5) \)[/tex] is 24, which corresponds to option D.
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