Question

Let f(x) = 9x - 2 and g(x) = -x + 3. Find f(g(x)).

-9x - 2

-9x + 5

-9x + 25

-9x + 27

Answer 1

Any idea how to start?

Answer 2

Ditribute 9x*-x and 9x*3

Answer 3

Mhm

Answer 4

\[f(g(x)) = 9(-x+3)-2\]

You just plug g(x) expression where the x is.

Answer 5

Does that make sense?

Answer 6

Now just distribute.

Answer 7

Yes, I got the answer thankyou batman!

Answer 8

Np ^.^

Answer 9

Let's take the function f(x) = 9x -2. If we wanted to find f(2), we would sub in '2' to wherever we found x in the function (i.e. we would get 9(2) - 2 = 18 - 2 = 16). So, if we were looking for f(g(x)), we would sub in g(x), or -x + 3, into everywhere we found x.

So, we would get f(g(x)) = 9(-x + 3) -2, which you can simplify to give you the answer.