Question

Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:

f(x) = 6x + 12

g(x) = x − 8

−96
0
24
48

Answer 1

i will medal

Answer 2

Hey William :)\[\large\rm \color{orangered}{f(x)=6x+12},\qquad\color{royalblue}{g(x)=x-8}\]

Answer 3

Hmm so we need to solve this:\[\large\rm \color{orangered}{f\left[\color{royalblue}{g(6)}\right]}\]

Answer 4

We want to work from the inside and move outward.
So let's deal with the blue first.
What is the value of the function g, when 6 is plugged in for x?

Answer 5

so you say to turn it into g(x)=6-8?

Answer 6

Good, yes.\[\large\rm g(x)=x-8,\qquad g(6)=6-8\]Looks like we end up with -2, ya?

Answer 7

So then,

Answer 8

That simplifies down the blue inner part for us.
\[\large\rm \color{orangered}{f\left[\color{royalblue}{g(6)}\right]}=\color{orangered}{f\left[\color{royalblue}{-2}\right]}\]

Answer 9

So now all we need to do is simply plug -2 into our f function.

Answer 10

im having trouble someone talk me through this

Answer 11

hello?

Answer 12

is it f(x)=6(-2) +12

Answer 13

yes now evaluate 6(-2) + 12 and you're done

Answer 14

hmmm what would you get for say \(\bf {\color{brown}{ g(6)}}?\)

Answer 15

0

Answer 16

0? how.. did you get 0 though?

Answer 17

anyhow \(\bf g(x)=x-8\qquad g({\color{brown}{ 6}})={\color{brown}{ 6}}-8\)