Answer:
2. Both
3. e = 3, f = -5, g = 2
Step-by-step explanation:
2. Order doesn't affect product
3. You get e • f = -15, e • g = 6, f • g = -10 from the problem.
e = -15/f (solve for e)
(-15/f) • g = 6 (plug into second equation)
(-15g/f) = 6 (multiply)
-15g = 6f (multiply)
(-5g/2) = f (divide)
(-5g/2) • g = -10 (plug into last equation)
(-5g^2)/2 = -10 (multiply)
-5g^2 = -20 (mulitply)
g^2 = 4 (divide)
g = 2 (square root)
e • g = 6 (plug in for g, solve for e)
e • 2 = 6
e = 3
f • g = -10 (plug in for g, solve for f)
f • 2 = -10
f = -5
I don't know if your teacher made a typo because I tried this multiple times and got the same answer. I don't know how e is negative.
The answer is B. I hope it help :)
Answer:
c. 25
Step-by-step explanation:
(f ∘ g)(-2) = f(g(-2)) = f(-2-3) = (-5)² = 25
For this problem, it seems to work best to evaluate g(-2), then evaluate function f on that. (In other cases, it might be useful to simplify the composite function first.)
