Question

Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of (g o f)(3)?
6

x + 8

-10

23
I'm so lost

Answer 1

first find \(f(3)\)
what do you get?

Answer 2

if it is not clear let me know and i will show you

Answer 3

Idk how to do it can you take me step by step

Answer 4

sure

Answer 5

thank you

Answer 6

\[ f(x) = -2x + 8\] is what you are given
so \[ f(3) = -2\times 3 + 8\]

Answer 7

ok

Answer 8

in other words, where you see an \(x\) you put a \(3\)

Answer 9

ooooooo

Answer 10

arithmetic gives
\[f(3)=-2\times 3+8=-6+8=2\] so
\[f(3)=2\]

Answer 11

we are not done, because you were not asked for \(f(3)\) you were asked for
\[g\circ f(3)=g(f(3))\] but we are done with step one

Answer 12

ok

Answer 13

step 2
now that we know \(f(3)=2\) what is \(g(2)\) ?

Answer 14

clear or not? since
\[g(x)=3x\\g(2)=3\times 2\]

Answer 15

6

Answer 16

that is the final answer
putting it all together
\[g\circ f(3)=g(f(3))=g(2)=6\]

Answer 17

ooooo I feel really slow but I get it now thank you so much for your help

Answer 18

yw
we can do another if you like

Answer 19

sure why not

Answer 20

you got one?

Answer 21

or you want me to make one up>?

Answer 22

I dont have another one like that but I have another problem

Answer 23

ok lets try it

Answer 24

http://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/nonflash_courses/pre_calc_sem_1/assets/bf2a2700-de8a-430f-9e33-b800efa9775d.jpg

Answer 25

nope, runtime error
got a screenshot?

Answer 26

Which of the following systems of inequalities would produce the region indicated on the graph below

Answer 27

one line is \(y=x+2\) the other is \(y=-x+4\)

Answer 28

your region is below both
do you have an answer that looks like
\[y<x+2\\
y<-x+4\]?

Answer 29

hang on

Answer 30

b55d5c96-0418-4ab2-9d6a-8016f2f02698.gif