Question

Given f(x) = 4x + 13 and g(x) = 10x − 2, solve for (f + g)(x) and select the correct answer below.

(f + g)(x) = 14x + 15
(f + g)(x) = 14x + 11
(f + g)(x) = 6x + 11
(f + g)(x) = 6x + 15

Answer 1

@FaiqRaees

Answer 2

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

Answer 3

im confused

Answer 4

i did another one like this but they gave me a value to plug in for x

Answer 5

example:

f(x) = 9x+5
g(x) = 7x-2

(f+g)(x) = f(x)+g(x)
(f+g)(x) = (9x+5)+(7x-2)
(f+g)(x) = 9x+5+7x-2
(f+g)(x) = 9x+7x+5-2
(f+g)(x) = 16x+3

Answer 6

and this one dosent

Answer 7

ohhhhhhhhhhhhhhhhhh

Answer 8

(4x+13)+(10x+−2)
=(4x+10x)+(13+−2)
=14x+11
=14x+11?

Answer 9

very good, you are correct

Answer 10

can you help with one more?

Answer 11

sure

Answer 12

Choose the polynomial written in standard form.

x4y2 + 4x3y + 10x2
xy2 + 4x4y + 10x
x4y2 + 4x3y5 + 10x2
x6y2 + 4x3y8 + 10x

Answer 13

Let's focus on ` x4y2 + 4x3y + 10x2` first

the first term of that expression is x^4y^2

the degree of this monomial is equal to the sum of the exponents, so 4+2 = 6
what is the degree of the next term 4x^3y ?

hint: y = y^1

Answer 14

7?

Answer 15

4 is not an exponent in 4x^3y

Answer 16

OHHHH

Answer 17

3?

Answer 18

4x^3y is the same as 4x^3y^1

Answer 19

The exponents for 4x^3y^1 are 3 and 1

3+1 = 4 is the degree of 4x^3y^1

Answer 20

oh

Answer 21

what is the degree of the last term 10x^2 ?

Answer 22

how does findng these degrees help determine if this expression is in standard form?

Answer 23

and 3

Answer 24

how are you getting a degree of 3 for 10x^2 ?

Answer 25

IF there was a y on it like 10x^2y, then yes it would be 3 since 2+1 = 3

but 10x^2 has no other term with exponents on it. The only exponent is 2, so the degree is simply 2

Answer 26

`how does findng these degrees help determine if this expression is in standard form?`

that's a good question. The answer to this question is that a polynomial is in `standard form` only when the terms are arranged in order where the degrees of each monomial is decreasing

example: 5x^3 + 6x^2 + 10x + 2
the degrees step down 3, 2, 1, 0

this is NOT in standard form
6x^2+3x^3+10x
because the degrees are 2,3,1 in that order

Answer 27

Let's look at ` x6y2 + 4x3y8 + 10x`

first term is x^6y^2 and it has a degree of 6+2 = 8
second term is 4x^3y^8 and it has a degree of 3+8 = 11

The degrees are NOT decreasing since we went from 8 to 11

So ` x6y2 + 4x3y8 + 10x` is NOT in standard form