Answer:
22
Step-by-step explanation:
Find f(-3) :
f(x) = x² + 2x for x ≤ -3
That means for those values of x, less than or equal to -3, this is the function.
So, f(-3) = (-3)² + 2(-3) = 9 - 6 = 3
Now, f(-1) :
From the given data, we see it is: f(x) = 2 [tex](\frac{1}{3} )^{2x}[/tex]
We take this because -1 lies between -3 and 4.
Now, f(-1) = 2 [tex](\frac{1}{3} )^{2(-1)}[/tex]
=> [tex]f = (-1) = 2(3)^{2} = 2 (9) = 18[/tex]
For f(4) :
Clearly, the function is: [tex]f (x) = \frac{2x - 5}{x-7}[/tex]
[tex]f (4) = \frac{2(4)-5}{4-7} = \frac{3}{-3} = -1[/tex]
Therefore, f(-3) + f(-1) - f(4) = 3 + 18 - (-1) = 3 + 18 + 1 = 22.
