Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest form. a. 4h(x) b. f(x) -

Question

Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest form.

a. 4h(x)

b. f(x) - g(x)

c. f(g(x))

d. g(x)h(x)

e. g(x) / f(x)

Answer 1

Dear Alexis,

 

     Hello, I would suggest that the first thing you want to do is pull out all important information and organize it :

 

f(X)= 2X +7

 

                                         

g(X) = X² -4

 

 

h(X) =5

 

 

1.    Find  4(hX), which means 4* hX.              4(5)=______                    Use substitution here.

 

 

2.   The question was incomplete on the system.  Did you mean  f(X)- g(X)  and f(X)- H(X) ?

 

      Then you would do the following:      f(X)-  g(X)=  (2X +7)  -  (X² -4)  =         Substitution

 

 

3.  Then simplify the problem:  2X +7 -X² +4  .  Write it in standard form  order (aX² +bX +C =0) for a Quadratic: 

 

-X²+2X +____. Complete

 

the problem

 

4.  The next one is f(X)- H(X):    2X +7  - 5   =  2X + _____  [ 7-5   or 7+ -5] . Complete the problem.

 

I hope that this helps.

                                                                  Thank you,

                                                                   Susan C