## anonymous one year ago 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

1. anonymous

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)

2. anonymous

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

3. anonymous

so B?

4. anonymous

how did you get that?

5. anonymous

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

6. anonymous

right. and when you simplified the numerator?

7. anonymous

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

8. anonymous

-10/-5 = 2

9. anonymous

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

10. anonymous

@peachpi can you help?

11. anonymous

k(p(x)) means you substitute p(x) for the x in k(x) |dw:1434122396481:dw|

12. anonymous

so i do 5(x-4)-4?

13. anonymous

yes

14. anonymous

oh k(x) was 5x - 8 so when you substitute its 5(x-4)-8

15. anonymous

but i dont solve i pick a equation. i think its D

16. anonymous

distribute and simplify 5(x-4)-8

17. anonymous

distribute the 5?

18. anonymous

yes

19. anonymous

is it B?

20. anonymous

yes

21. anonymous

for this word problem i got D just trying to make sure its right Dishwashers are on sale for 25% off the original price (d), which can be expressed with the function p(d) = 0.75d. Local taxes are an additional 14% of the discounted price, which can be expressed with the function c(p) = 1.14p. Using this information, which of the following represents the final price of a dishwasher with the discount and taxes applied? c(p) ⋅ p(d) = 0.855pd c(p) + p(d) = 1.89d c[p(d)] = 0.855d d[c(p)] = 1.89p

22. anonymous

@peachpi