SOLUTION: f(x)=2x²-2x-12 and g{x}=3 find: 1. f(2) 2. g(-2) 3. f(-3) 4. f(-1) 5. (f+g)x 6. (f-g)x 7. (f.g)x 8. (f/g)x 9. (f o g)x 10. (g o f)x

Algebra ->  Functions -> SOLUTION: f(x)=2x²-2x-12 and g{x}=3 find: 1. f(2) 2. g(-2) 3. f(-3) 4. f(-1) 5. (f+g)x 6. (f-g)x 7. (f.g)x 8. (f/g)x 9. (f o g)x 10. (g o f)x       Log On


   

Question 1091035: f(x)=2x²-2x-12 and g{x}=3 find:
1. f(2)
2. g(-2)
3. f(-3)
4. f(-1)
5. (f+g)x
6. (f-g)x
7. (f.g)x
8. (f/g)x
9. (f o g)x
10. (g o f)x

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=2x%5E2-2x-12 and g%28x%29=3 find

1.
+f%282%29=2%2A2%5E2-2%2A2-12
+f%282%29=8-4-12
+f%282%29=-8
2.
g%28-2%29=3
3.
f%28-3%29=2%2A%28-3%29%5E2-2%2A%28-3%29-12
f%28-3%29=2%2A9%2B6-12
f%28-3%29=18%2B6-12
f%28-3%29=12

4.
f%28-1%29=2%2A%28-1%29%5E2-2%2A%28-1%29-12
f%28-1%29=2%2A1%2B2-12
f%28-1%29=-18
5.
%28f%2Bg%29%28x%29=2x%5E2-2x-12%2B3
%28f%2Bg%29%28x%29=2x%5E2-2x-9
6.
%28f-g%29%28x%29=+2x%5E2-2x-12-3
%28f-g%29%28x%29=+2x%5E2-2x-15
7.
%28f%2Ag%29%28x%29=%282x%5E2-2x-12%29%2A3
%28f%2Ag%29%28x%29=6x%5E2-6x-36
8.
%28f%2Fg%29%28x%29=%282x%5E2-2x-12%29%2F3
%28f%2Fg%29%28x%29=%282%2F3%29x%5E2-%282%2F3%29x-12%2F3
%28f%2Fg%29%28x%29=%282%2F3%29x%5E2-%282%2F3%29x-4
9.
%28f+o+g%29%28x%29=f%28g%28x%29%29
substitute x in f%28x%29 with 3 from g%28x%29
f%28g%28x%29%29=2%2A3%5E2-2%2A3-12
f%28g%28x%29%29=2%2A9-6-12
f%28g%28x%29%29=18-18
f%28g%28x%29%29=0

10.
%28g+o+f%29%28x%29=g%28f%28x%29%29
%28g+o+f%29%28x%29=g%28f%28x%29%29
Composition of a constant g%28x%29=3+ with anything, results in the constant function =3+
g%28f%28x%29%29=3