Question

The following table shows the values of f(x) and g(x) for different values of x:
x 1, 2, 3, 4, 5
f(x) 4, 16, 64, 256, 1024
g(x) -1, -1, -1, -1, -1

Which of the following best describes the function f(x) + g(x)?


A. 4x - 1x
B. -1(4x)
C. 4x - 1
D. 4x - 1

I really need help on this one.

Answer 1

Well let's go ahead and draw some graphs.

We can use the points (x, f(x))'s to draw the coordinates to illustrate the graph of (f)
We can use the points (x, g(x))'s to draw the coordinates to illustrate the graph of (g)

Answer 2

And since the numbers are so high, graphing it will be a little tricky. I just wanted you to see how it looked when you graph two functions and then add them. Do you know the basics of adding functions?

Answer 3

Sort of. Can you go through the basics a little?

Answer 4

I can't seem to figure out a function that does (1, 4), (2, 16), (3, 64)...

Answer 5

We need to figure out the functions first before we can add them together.

Answer 6

Gimme a few minutes.

Answer 7

I'm going to figure this out, no worries =0)

Answer 8

No rush man!

Answer 9

Alright so our first function is - since we know the values of x are 1, 2, 3, 4, etc. and the values of f(x) are 4, 16, 64, 256; that our f equation is:\[f(x) = 4^{x}\]

Does that make sense so far?

Answer 10

That's not a negative in the first sentence lol

Answer 11

Yes, except the dash in the first sentence. Is that just a blank? :P

Answer 12

Don't worry about the dash, that's the way I separate ideas in sentences lol, I shouldn't do that in Math haha

Answer 13

Alright so our first function, since we know the values of x are 1, 2, 3, 4, etc. and the values of f(x) are 4, 16, 64, 256; that our f equation is:

Answer 14

Read it like that

Answer 15

Yeah, I understand.

Answer 16

Sorry about that. So our first function is f(x) = x^4

And our g(x) function has the points (1, -1), (2, -1), (3, -1), etc.

Which can be shown by the function g(x) = -1

Answer 17

\[f(x) = 4^{x}\]\[g(x) = -1\]

So we need to know what
\[f(x) + g(x) \] is right?

Answer 18

What are your answer choices again?

Choice A: 4x - 1x doesn't make much sense because this is just 3x, and usually answers/solutions will never put a 1 in front of a solitary x...

Answer 19

Are you sure their not 4^x - 1^x and -1(4^x) etc...?

Answer 20

And you have the same answer for C and D

Answer 21

C. 4x - 1
D. 4x - 1

....

Answer 22

Oh, no. C has 1 as an exponent.

Answer 23

So it would be more like 4x - ^1

Answer 24

Sorry.

Answer 25

4x - ^1 makes absolutely no sense whatsoever.

Answer 26

Like this? \[4x ^{-1}\]

Answer 27

Yeah, But that only leaves B then.

Answer 28

And B seems the most logical answer anyways.

Answer 29

-1(4x) is just equal to -4x. And that is not what 4 raised to the x power + (-1) would be at all.

Answer 30

You must be missing an exponent, or some sign in there. Is it not\[-1(4^{x})\]

Answer 31

Because that is Completely different than -1(4x)

Answer 32

... Crap, you're right. :| I'm sorry, I didn't notice the exponents. on C and B. Let me re-write them...

A. 4^x - 1x
B. -1(4^x)
C. 4^x - ^1
D. 4^x - 1

Answer 33

Anyways f(x) + g(x) = (f + g)(x)

\[4^{x}+(-1) = 4^{x}-1\]

Answer 34

Thank you. Medal for you!