Question

Given the table below, evaluate the following:

x -3 -2 -1 0 1 2 3 4 5
f(x) 10 20 30 40 50 60 70 80 90
g(x) -1 -2 -3 -4 -5 -6 -7 -8 -9

a. (3f+2g)(1)

b. (f o g)(-1)

***Two parts, Please explain! Thanks :) and i will attach the table as a pic in case its easier to see/understand :)

Answer 1

here is the table :)

Answer 2

Hi! THanks for coming :) do u understand this? :)

Answer 3

I do,

(3f+2g)(1)

translates into

3f(1)+2g(1)

Answer 4

So you need to find both

f(1) and g(1)

using the table

Answer 5

then you triple f(1) then add this to double of g(1)

Answer 6

you got it

Answer 7

yay! so for part b (f o g)(-1) how do i do this again?? i always get mixed up when it is (f o g) or (g o f) yadiyadiyah :/

Answer 8

(f o g)(x) means

f(g(x))

Answer 9

so

(f o g)(-1)

becomes

f(g(-1))

Answer 10

so i need to find g(-1)? on the table?

Answer 11

yes, what is g(-1)?

Answer 12

g(-1)= -3
??

Answer 13

good, so

f(g(-1))

then turns into

f(-3)

Answer 14

so i find what f(-3) is on the table??
so f(-3)= 10
???
so (f o g)(-1)=10
??

Answer 15

you nailed it again

Answer 16

they are and that's the correct way to write them

Answer 17

yay! :) thank you :)

Answer 18

yw