Answer:
(c ° d) (x) = 4x^2 + 20x - 2
Step-by-step explanation:
To find (c ° d) (x), we need to perform the composition of the functions c(x) and d(x).
Start with c(x) = 4x - 2 and d(x) = x^2 + 5x.
To compose these functions, substitute d(x) into c(x) and simplify:
(c ° d) (x) = c(d(x))
(c ° d) (x) = c(x^2 + 5x)
Now substitute x^2 + 5x into c(x) and simplify further:
(c ° d) (x) = 4(x^2 + 5x) - 2
(c ° d) (x) = 4x^2 + 20x - 2
Therefore, (c ° d) (x) = 4x^2 + 20x - 2
