Given f, of, x, equals, 2, x, minus, 2f(x)=2x−2, find f, of, minus, 3f(−3)
To find f o f minus 3f(-3), we first need to find f.
Given f(x) = 2x - 2, we can replace x with -3 to find f(-3):
f(-3) = 2(-3) - 2
f(-3) = -6 - 2
f(-3) = -8
Now we can find f o f:
f o f = f(f(x))
f o f = f(2x - 2)
f o f = 2(2x - 2) - 2
f o f = 4x - 4 - 2
f o f = 4x - 6
Finally, we can find f o f - 3f(-3):
f o f - 3f(-3) = (4x - 6) - 3(-8)
f o f - 3f(-3) = 4x - 6 + 24
f o f - 3f(-3) = 4x + 18
Therefore, f o f - 3f(-3) = 4x + 18.