Answer:
a) x^(2) + 2x + 1
b) x^(2) + 1
c) 16
d) 1
Step-by-step explanation:
f(x) = x^(2)
g(x) = x + 1
a)
f(g(x))
input g(x) into f(x)
f(x+1) = (x+1)^(2)
= x^(2) + 2x + 1
b)
g(f(x))
input f(x) into g(x)
g(x^(2))
x^(2) + 1
c)
f(g(3))
Use the equation found in part a, substitute in 3 for x
(3)^(2) + 2(3) + 1
= 9 + 6 + 1
= 16
d)
Use the equation found in part a, substitute in 0 for x
(0)^(2) + 2(0) + 1
= 0 + 0 + 1
= 1
