Hi there.
The answer is f(-3) = -16
Explanation:
Given 2 functions with given domains.
[tex]f(x) = 5x - 1[/tex]
where x < -2
[tex]f(x) = x + 3[/tex]
where x >= -2
What we need to do is evaluate the value when x = - 3
Meaning f(x)=x+3 can't be used as its domain is greater than -3.
Therefore, our main function is f(x)=5x-1 as x = -3 is part of the domain.
[tex]f(x) = 5x - 1[/tex]
Then we substitute x = -3 in the function.
[tex]f( - 3) = 5( - 3) - 1 \\ f( - 3) = - 15 - 1 \\ f( - 3) = - 16[/tex]
Thus the answer is f(-3) = -16
