Answer:
The answer to your question is (f°g)(x) = -5856x⁶ - 25529x⁴ -52710x² - 36220
Step-by-step explanation:
Data
f(x) = -12x³ + 19x² - 5
g(x) = 7x² + 15
find (f°g)(x)
Process
1.- Substitute g(x) in all the x of f(x)
(f°g)(x) = -12(7x² + 15)³ + 19(7x² + 15)² - 5
-Expand
(f°g)(x) = -12[4913x⁶ + 2205x⁴ + 4725x² + 3375] + 19(49x⁴ + 210x² + 225) - 5
-Simplify
(f°g)(x) = -58956x⁶ - 26460x⁴ - 56700x² - 40500 + 931x⁴ + 3990x² + 4275 -
5
-Result
(f°g)(x) = -5856x⁶ - 25529x⁴ -52710x² - 36220
Your answer would be B. -x² - 2x + 16
If we look at the terms separately, you can add them separately, so:
4x² + -5x² = -x²
0 + -2x = -2x
9 + 7 = 16
I hope this helps!
I don't understand your question Bayleeweaver
What fraction is equivalent to the whole number 6?
Well, any fraction which result gives you 6 is a fraction that would fulfill the requirement, I'll give you a few examples so you can grasp the idea:
6 = 6/1 = 12/2 = 18/3 = 24/4 = 30/5 = 36/6 = 42/7 = 48/8 = 54/9 = 60/10
etcetera
Only 1 combination, tailx15 would work.