Question

Consider the functions f(x) = 3x − 2 and g(x) = x^2 − 1. What is the value of (f − g)(−2)?

Answer 1

(f-g)(-2) is the same as f(-2) - g(-2)

Answer 2

So all you need to do is find f(-2) and g(-2), then subtract

Answer 3

So how do we find f(-2)?

Answer 4

we make x= -2

Answer 5

Good, and we do what with that x value?

Answer 6

plug it in the equation

Answer 7

Which one?

Answer 8

the F(x) one

Answer 9

you got it, tell me what you get when you do

Answer 10

-8

Answer 11

you're right, so f(-2) = -8

Answer 12

Do the same for g(-2)

Answer 13

g(-2)=3

Answer 14

perfect

Answer 15

So

f(-2) - g(-2)

becomes

-8 - 3

Answer 16

-11

Answer 17

you got it

Answer 18

so f(-2) - g(-2) = -11

and

(f-g)(-2) = -11

Answer 19

thank u

Answer 20

yw