SOLUTION: The function h(x) was used to generate the following code: 21,30,45,30,60,27,18,15,63,18,60,63 Decode this message if h(x)=(f+g)(x) and f(x)= 2x+1 g(x)= x+2 I'm lost, ho

Algebra.Com
Question 91371: The function h(x) was used to generate the following code:
21,30,45,30,60,27,18,15,63,18,60,63
Decode this message if h(x)=(f+g)(x) and f(x)= 2x+1 g(x)= x+2
I'm lost, how do I solve this?

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!

and , so
=

Now you want to set h(x) = to each of the numbers in your list, solve for x, then select the corresponding letter of the alphabet. I'll do the first few to get you started:
First letter:
Subtract 3 from both sides.
Divide both sides by 3.
The 6th letter of the alphabet is F. This is the first letter of the message.
2nd letter:


The 9th letter of the alphabet is I. This is the second letter of the message.
3rd letter:


The 14th letter of the alphabet is N. This is the 3rd letter of the message.
You should be able to finish this yourself.
If you are still having trouble, re-post the problem.

RELATED QUESTIONS

The function defined by f(x)=3x-2 was used to encode the following message: 37 25 19 61... (answered by vleith)
Listed below are speeds​ (mi/h) measured from traffic on a busy highway. This simple... (answered by CPhill)
Listed below are speeds​ (mi/h) measured from traffic on a busy highway. This simple... (answered by Boreal)
Listed below are speeds​ (mi/h) measured from traffic on a busy highway. This simple... (answered by fsdf)
Hello, How do I construct a stem and leaf plot for the following information, I am sorry (answered by stanbon)
compute a one-sample t-test comparing the age of your sample to the age of the general... (answered by ikleyn)
convert each subject's age and height into a z-score. Using the z-score of ±1.645 for... (answered by ikleyn)
Question 1(a) Suppose that the amount of time teenagers spend on the Internet is... (answered by ikleyn)
given the function of h described by h(x)=x+9, find each of the following: h(0) h(-18) (answered by richard1234)