The given function is [tex]\( n(x) = x \)[/tex].
We need to evaluate [tex]\( (mn)(x) \)[/tex] for [tex]\( x = -3 \)[/tex].
To do this, we first need to understand what [tex]\( (mn)(x) \)[/tex] represents. Here, [tex]\( m \)[/tex] could be an identity function or another simple operation, but since it’s not explicitly defined, we'll work with what we have, [tex]\( n(x) = x \)[/tex].
Given:
[tex]\[ n(x) = x \][/tex]
To evaluate [tex]\( (mn)(x) \)[/tex] for [tex]\( x = -3 \)[/tex], we start by finding [tex]\( n(-3) \)[/tex]:
[tex]\[ n(-3) = -3 \][/tex]
Since [tex]\( n(x) = x \)[/tex] directly, the result is simply the value of [tex]\( x \)[/tex], which is -3:
Therefore, [tex]\( (mn)(-3) \)[/tex]:
[tex]\[ (mn)(-3) = -3 \][/tex]
So, the final answer is:
[tex]\[ (mn)(-3) = -3 \][/tex]