Question

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

Answer 1

-9x - 2

-9x + 5

-9x + 25

-9x + 27

Answer 2

\[\Large\rm g(x)=-x+3\]\[\Large\rm f(\color{orangered}{x})=9(\color{orangered}{x})-2\]So what we want to do is,
replace the orange x's with g(x) in our f function.

We're plugging g(x) into our f.

Answer 3

\[\Large\rm f(\color{orangered}{g(x)})=9(\color{orangered}{g(x)})-2\]

Answer 4

On the right side, plug in what the equation for g(x) is.
\[\Large\rm f(\color{orangered}{g(x)})=9(\color{orangered}{-x+3})-2\]

Answer 5

And simplify!

Answer 6

so the answer is D

Answer 7

Hmmm, so distributing the 9 gives us:\[\Large\rm f(g(x))=-9x+27-2\]

Answer 8

ohoho i distribute but forgotto subtract so its C

Answer 9

can i ask one more

Answer 10

sure

Answer 11

Let f(x) = -4x + 7 and g(x) = 10x - 6. Find f(g(x)).

-40x + 24

-40x + 31

-40x + 64

-40x + 70

Answer 12

Aww comeon bro, you can do this one >.<
This is pretty much the same thing as the last one.
just plug g(x) into your f.\[\Large\rm f(\color{royalblue}{x})=-4(\color{royalblue}{x})+7\]\[\Large\rm f(\color{royalblue}{g(x)})=-4(\color{royalblue}{g(x)})+7\]\[\Large\rm f(\color{royalblue}{g(x)})=-4(\color{royalblue}{10x-6})+7\]

Answer 13

so its B

Answer 14

Mmmmmm yah that sounds about right.

Answer 15

ty