Question

f(x)=2x+3^2
h(x)=3x - 4
what does (f(h(x))) equal
what does (h(f(x))) equal

Answer 1

Is f(x) this:\[f(x)=(2x+3)^{2}\]

Answer 2

no just 3 to the second power

Answer 3

So f(x) actually equals 2x+9 then, right?

Answer 4

yeah pretty much

Answer 5

ok, so here's the thing with this: if you are told to find f(h(x)), you "do" the h(x) to the f(x), like this...

Answer 6

oh I see so pretty much for h(f(x)) you input it in that order

Answer 7

You would do the same for h(f(x)), just fit the f function in for the x in the h function. But in order to do this properly, you would have to distribute the constant into the parenthesis, like this:

Answer 8

These are called composite functions, which means you have 2 functions that are working in tandem with one another. But as you will see, applying the h function to the f gives you a very different answer than what you get when you apply the f function to the h.