Question

What transformations change the graph of f(x) to the graph of g(x)?

f(x)=2x g(x)=6x-3

I think you have to plug something in but I'm a bit confused...

Answer 1

\[h(x)=3x-3\] Then you do the composition,
\[h(f(x))=3(2x)-3=6x-3=g(x)\]

Answer 2

Where did you get h? I'm confused.

Answer 3

Well, by inspection, you can see,
\[g(x)=6x-3=3(2x)-3\]And from this point you can deduce it must be composition.