Question

Which expression is equal to (F+g)(x)
f(x)=x^2+10; g(x)=x-3
a: x^2+x+13
b: x^2+x+7
c: 7x^2+x-3
d: 2x^2+7

Answer 1

`(f+g)(x)` is the same as `f(x) + g(x)`

Answer 2

so all you have to do is add the two functions and combine like terms where necessary

Answer 3

Huh??

Answer 4

they want you to add `x^2+10` and `x-3`

Answer 5

Yeah.. And how do i do that?

Answer 6

do you see any like terms?

Answer 7

10 and -3

Answer 8

they add to what?

Answer 9

7?

Answer 10

are there any other like terms

Answer 11

no

Answer 12

so we simply say `x^2 + x + 7`

Answer 13

OHHHHHHH!!!! I get it now!!

Answer 14

Can you help me with another problem?

Answer 15

sure, one more

Answer 16

What is the domain of (f/g)(x)
F(X)=(square toot of) 5-x G(X)= (square root of) x+5
a:(xlx(lessthanorequalto)5
b:(xlx(lessthan)5
c:(xl-5<x,(orequalto)5)
d:(xlx>(orequaltoo)-5

Answer 17

solve `x + 5 > 0` to get what?

Answer 18

IDK

Answer 19

hint: think of it as `x+5 = 0`

Answer 20

oh +5 to each side!

Answer 21

subtract 5 from each side

Answer 22

oh.. thats what i meant

Answer 23

so we get x > -5

Answer 24

yeah

Answer 25

now we solve `5-x >= 0` to get


5-x >= 0
5-x+x >= 0+x
5 >= x
x <= 5


so we know that `x > -5` and `x <= 5`

put together, we get `-5 < x <= 5`

Answer 26

Is that the answer?

Answer 27

yes, it is \(\Large -5 < x \le 5 \)

Answer 28

Thanks so much!

Answer 29

np