Answer:
[tex]f(-3) = -\frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x}[/tex] [tex]x < -2[/tex]
[tex]f(x) =x^2[/tex] [tex]x \ge - 2[/tex]
Required
[tex]f(-3)[/tex]
To do this, we make use of:
[tex]f(x) = \frac{1}{x}[/tex] because [tex]x < -2[/tex] i.e. [tex]-3 < -2[/tex]
So, we have:
[tex]f(-3) = \frac{1}{-3}[/tex]
[tex]f(-3) = -\frac{1}{3}[/tex]
