Answer:
-1, -10, -26
Explanation:
f(x) = -x² - 1
g(x) = x + 5
f(g(x)) =
-(g(x))² - 1 = ==> plugin g(x) for x in f(x) in order to get f(g(x))
-(x + 5)² - 1 = ==> plugin x+5 for g(x)
-(x + 5)(x + 5) - 1 =
-(x(x + 5) + 5(x + 5)) - 1 = ==> distribute (x+5) to x and 5
-((x*x + 5*x) + (5*x + 5*5)) - 1 = ==> simplify
-(x^2 + 5x + 5x + 25) - 1 =
-(x^2 + 10x + 25) - 1 =
-x^2 - 10x - 25 - 1 = ==> distribute the negative sign to x^2, 10x, and 25
-x^2 - 10x - 26 = -1x^2 + (-10x) + (-26)
Subtracting by a positive number is equivalent to adding by a negative number
Answer: -1, -10, -26