Question

WILL FAN & MEDAL!

Answer 1

Are you familiar with the idea that
\[\Large \left(g \circ f\right)(x) = g(f(x))\]

Answer 2

I was not:

Answer 3

are you able to determine the value of `f(6)` ?

Answer 4

no...:-/

Answer 5

in f(x), replace every x with 6 and evaluate

Answer 6

\[\large f(\color{red}{x}) = 2(\color{red}{x}) - 8\]
\[\large f(\color{red}{6}) = 2(\color{red}{6}) - 8\]
\[\large f(6) = ??\]

Answer 7

4?

Answer 8

oh i was looking at the wrong question haha, does that make it -6?

Answer 9

\[\Large \left(g \circ f\right)(x) = g(f(x))\]
\[\Large \left(g \circ f\right)(\color{red}{x}) = g(f(\color{red}{x}))\]
\[\Large \left(g \circ f\right)(\color{red}{6}) = g(f(\color{red}{6}))\]
\[\Large \left(g \circ f\right)(6) = g(f(6))\]
Since f(6) = 4, we can replace the "f(6)" with "4"
\[\Large \left(g \circ f\right)(6) = g(f(6))\]
\[\Large \left(g \circ f\right)(6) = g(\color{red}{f(6)})\]
\[\Large \left(g \circ f\right)(6) = g(\color{red}{4})\]

Answer 10

now you just need to evaluate g(4). This is similar to how we evaluated f(6)

Answer 11

6?

Answer 12

plug x = 4 into the g(x) function

Answer 13

im getting six...

Answer 14

g(x) = x-5

g(4) = 4-5 ... replace every x with 4

g(4) = ???

Answer 15

omg -1...

Answer 16

right?:D

Answer 17

@jim_thompson5910

Answer 18

yep -1

Answer 19

thanks youre awesome!:DDD

Answer 20

you're welcome