MEDAL AND FAN! (:
Let f(x) = -2x + 7 and g(x) = -6x + 3. Find f times g and state its domain.

Question

MEDAL AND FAN! (:
 Let f(x) = -2x + 7 and g(x) = -6x + 3. Find f times g and state its domain.

anonymous · Answer

f(x) x g(x) = (-2x +7)(-6x +3)

does that make sense to you?

emilyjones284 · Answer

yes

anonymous · Answer

alright moving on do you the distributive laws. Can you expand these brackets?

emilyjones284 · Answer

now im lost lol

anonymous · Answer

Never mind you don't need to know that just say you have a new equation now.

$$h(x) = (-2x +7)(-6x+3)$$

alright.

emilyjones284 · Answer

okay

anonymous · Answer

Now what does domain mean to you?

emilyjones284 · Answer

the domain is what im stuck on...i know how to solve the equation

anonymous · Answer

domain means all the numbers x can be...

emilyjones284 · Answer

can you tell me what the domain is? haha :P

anonymous · Answer

So say we have some numbers -1000, -999 , 1 , 3

anonymous · Answer

can you substitute these numbers into the equation h(x) and get a answer?

emilyjones284 · Answer

oh so its just the number that makes the equation equal zero?

anonymous · Answer

Is zero a real number?

emilyjones284 · Answer

oh wait is it the number that makes the equation equal a negative number?

anonymous · Answer

I am goning to give you the real answer than explain this ok...

$$x \epsilon \mathbb{N} $$

this means that the value x is an element of all natural numbers alright.

anonymous · Answer

If you make h(x) = 0 it is still a natural number. so, basically you can make use any number in the equation h(x) right?

emilyjones284 · Answer

the answer is either 12x^2-48x+21; all real numbers except x=1. or its 12x^2-48x+21: all real numbers

anonymous · Answer

All numbers are usable because you will get a real number as a solution. Here look at this number line. |dw:1374024746106:dw|