AP Calculus
posted by meghan on .
If f(x)=3x^2x+2 then
what is 2f(a)?
What is f(2a)?
What is f(a^2)?
What is [f(a)]^2?
What is f(a+h)?

2 f ( a ) = 2 ( 3 a ^ 2  a + 2 ) =
6 a ^ 2  2a + 4
f ( 2a ) = 3 [ ( 2a ) ^ 2 ]  2a+ 2 =
3 ( 4a ^ 2 )  2a + 2 =
12 a ^ 2  6 a + 6
f ( a ^ 2 ) = 3 [ ( a ^ 2 ) ^ 2 ]  a ^ 2 + 2 =
3 a ^ 4  a ^ 2 + 2
[f ( a ) ] ^ 2 = ( 3 a ^ 2  a + 2 ) ^ 2 =
9 a ^ 4  6 a ^ 3 +1 3 a ^ 2  4 a + 4
f ( a + h ) = 3 a ^ 2 + 6 a h  a + 3 h ^ 2  h + 2 
f ( a + h ) = 3 ( a + h ) ^ 2  ( a + h ) + 2 =
3 a ^ 2 + 6 a h  a + 3 h ^ 2  h + 2