Question

If f(x)=3x^2-x+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)?

Answer 1

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

Answer 2

f ( a + h ) = 3 ( a + h ) ^ 2 - ( a + h ) + 2 =

3 a ^ 2 + 6 a h - a + 3 h ^ 2 - h + 2