We need to find f(-2)
We have two functions in piecewise function
f(x) = x+4 if x>5
f(x) = 2x^2 - 3 if x<=5
f(-2) means x=-2
Now we need to choose a function which satisfies x=-2
x=-2 is less than 5 so x<=5 satisfies
Hence we use f(x) = 2x^2 - 3 to find f(-2)
[tex]f(x) = 2x^2 - 3[/tex]
[tex]f(-2) = 2(-2)^2 - 3= 2*4 -3 = 8-3 = 5[/tex]
So f(-2) = 5
