If the function f is defined by

f(x+2) = 2x2 + 7x−5. Find F(-1).

1 answer

To find F(-1), we substitute x = -1 into the equation for f(x+2):

F(-1+2) = 2(-1)^2 + 7(-1) - 5
F(1) = 2(1) + (-7) - 5
F(1) = 2 - 7 - 5
F(1) = -10

Therefore, F(-1) = -10.