College

Complete the activities below to check your understanding:

1. If [tex]f(x) = x^2 - 1[/tex], what is [tex]f(-5)[/tex]?

A. -26
B. -24
C. 9
D. 24
E. 26

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.