SOLUTION: Let f(x)=x^2 and g(x)=x+3, find: a. (f o g)(x)= b. (g o f)(x)= c. (f o g)(-3)= d. (g o f)(-3)=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Let f(x)=x^2 and g(x)=x+3, find: a. (f o g)(x)= b. (g o f)(x)= c. (f o g)(-3)= d. (g o f)(-3)=      Log On


   



Question 1161263: Let f(x)=x^2 and g(x)=x+3, find:
a. (f o g)(x)=
b. (g o f)(x)=
c. (f o g)(-3)=
d. (g o f)(-3)=

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Let f%28x%29=x%5E2 and g%28x%29=x%2B3,
find:
a.
(f o g)%28x%29=f%28g%28x%29%29
(f o g)%28x%29=f%28x%2B3%29
(f o g)%28x%29=%28x%2B3%29%5E2


b.
(g o f)%28x%29=g%28f%28x%29%29
(g o f)%28x%29=g%28x%5E2%29
(g o f)%28x%29=x%5E2%2B3

c.
(f o g)%28-3%29=%28-3%2B3%29%5E2
(f o g)%28-3%29=0%5E2
(f o g)%28-3%29=0

d.
(g o f)%28-3%29=%28-3%29%5E2%2B3

(g o f)%28-3%29=9%2B3
(g o f)%28-3%29=12