SOLUTION: Let ƒ(x) = 3x2 – 2x and g(x) = x – 6. Find each value. (ƒ – g)(2)

Algebra ->  Rational-functions -> SOLUTION: Let ƒ(x) = 3x2 – 2x and g(x) = x – 6. Find each value. (ƒ – g)(2)       Log On


   

Question 262297: Let ƒ(x) = 3x2 – 2x and g(x) = x – 6. Find each value.
(ƒ – g)(2)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Let ƒ(x) = 3x^2 – 2x and g(x) = x – 6. Find each value.
(ƒ – g)(2)
.
Start with f(x)
3x^2 – 2x
Subtract g(x):
3x^2 – 2x - (x-6)
3x^2 – 2x - x + 6
3x^2 – 3x + 6
.
Now, plug in x=2:
3(2)^2 – 3(2) + 6
3(4) – 6 + 6
12
.
Therefore:
(ƒ – g)(2) = 12