Answer:
a. -5 b. 23 c. 871 d. -5
Step-by-step explanation:
f(x) = x^2 + 6x and g(x) = x - 4
a). (fog)(3) = (x - 4)^2 + 6(x - 4)
= (3 - 4)^2 + 6(-1)
= 1 -6
= -5
b). (gof)(3) = ( x^2 + 6x) - 4
= (9 + 18) - 4
= 23
c). (fof)(3) = (x^2 + 6x)^2 + 6(x^2 + 6x)
= 27^2 + 27(6)
= 871
d). (gog)(3) = (x - 4) -4
= (3 - 4) - 4
= -5
