Question

Given the following functions f(x) and g(x), solve f over g(−3) and select the correct answer below:

f(x) = 6x + 8

g(x) = x − 2

−2
−negative one half
one half
2

Answer 1

1
Find the Greatest Common Factor (GCF)
1. What is the largest number that divides evenly into 6x and 8?
2

2. What is the highest degree of x that divides evenly into 6x and 8?
None, x is not in every term

3. Multiplying the results above, the GCF is
2

GCF=2

2
Factor out the GCF
1. Put the GCF as the first term
2. Then, in parentheses, divide each term by the GCF
2(6x2+82)

3
Simplify each term in parentheses
2(3x+4)

Answer 2

\[\frac{ f }{g }(x)=\frac{ f(x) }{ g(x)}=\frac{ 6x+8 }{ x-2}\]
Plug in -3 for x

Answer 3

so B?

Answer 4

how did you get that?

Answer 5

i did 6(-3)+8
-----------
-3-2

Answer 6

right. and when you simplified the numerator?

Answer 7

well i got -10
------
-5 which equals -2

Answer 8

-10/-5 = 2

Answer 9

what about this one?
Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.

k[p(x)] = 5x − 12
k[p(x)] = 5x − 28
k[p(x)] = 5x2 − 12
k[p(x)] = 5x2 − 28

Answer 10

@peachpi can you help?

Answer 11

k(p(x)) means you substitute p(x) for the x in k(x)