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
