Question

Let f(x)=3x^2+3x+4..what are these?
2f(a)

f(2a)

f(a^2)

[f(a)]^2

f(a+h)

Answer 1

\[f(a+h)=3(a+h)^2+3(a+h)+4 \]
see how i just replaced all the x's in your expression with a+h

Answer 2

\[f( * )=3*^2+3*+4\]

Answer 3

\[f(tuna fish)=3(tuna fish)^2+3(tuna fish)+4\]

Answer 4

that thing inside f( ) is what we are going to replace x with

Answer 5

what about the first one, there is a 2 before the f. what do i do about it?

Answer 6

\[2f(a)=2(f(a))=2(3a^2+3a+4)\]

Answer 7

\[f(a^2)=3(a^2)^2+3(a^2)+4\]

Answer 8

\[[f(a)]^2=[3a^2+3a+4]^2\]