f(g(3))= 27
Option D is correct.
Step-by-step explanation:
We are given:
[tex]f(x) = 3x^2\\g(x) = 3-2x[/tex]
We need to find f(g(3))
First we will find g(3)
Solving:
[tex]g(x)=3-2x\\g(3)=3-2(3)\\g(3)=3-6\\g(3)=-3[/tex]
Now we will find f(-3) because g(3)= -3
Solving:
[tex]f(x)=3x^2\\f(-3)=3(-3)^2\\f(-3)=3(9)\\f(-3)=27[/tex]
So, f(g(3))= 27
Option D is correct.
Keywords: Composite Functions
Learn more about Composite Functions at:
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