Question

I WILL MEDAL AND FAN!! PLEASE!


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

x 1 2 3 4 5
f(x) 4 16 64 256 1,024
g(x) -1 -1 -1 -1 -1

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

Answer 1

Omg please someone!

Answer 2

I really need to submit this test!!

Answer 3

Let's start with the easy one. What is g(x)?

Answer 4

When you plug in the x value for for the equations in your answer choice you should see same answers
for example if you plug in x=1 you should get 4^1-1(1)=4+(-1)

Answer 5

you would have to plug in all values of x to get a definitive answer

Answer 6

4^x-1x would be the equation from the answer choice and
4+(-1)would be f(x)+g(x)

Answer 7

Oh ok I think I get it.. What is a definitive answer tho? @arturos

Answer 8

like you are 100% sure that the answer choice you choose is the correct one

Answer 9

Oh ok... So when we plug in all values of x... We get the 3rd or the 4th answer?

Answer 10

@arturos

Answer 11

yes

Answer 12

But im so confused whats the difference between 4^x^-1 which is the 3rd answer and 4^x -1

Answer 13

@arturos

Answer 14

@Vandreigan I dont understand what you mean by that?

Answer 15

oh -1?

Answer 16

Yeah. g(x) = -1. It's a constant.
Can you see what f(x) is?

Answer 17

\[4^{x ^{-1}}\] is 4^x^-1
where 4^x-1 is\[4^{x}-1\]

Answer 18

oh ok thank you! @arturos let me just see what @Vandreigan was going to say

Answer 19

Yeah no problem

Answer 20

Well it is exponential right? it 4 times 2 and then 4 times3 and so o right?

Answer 21

Not quite. The series is:
4, 16, 64, 256, 1024

16 isn't 4*2, but you're not too far off.

Answer 22

Re-reading, I think you meant
4^2, not 4*2, which is correct.

so f(x) is what?

Answer 23

16 is 4^2

Answer 24

Oh yes that is what i meant srry...

Answer 25

Yep, so when x = 1, we get 4^1. When x=2, we have 4^2. Etc.
So what is f(x)?

Answer 26

4^x?

Answer 27

Yep :)
so, f(x) = 4^x
g(x) = -1

So what is f(x) + g(x)?

Answer 28

Ohhh! Wow thanks that makes so much sense when you put it like that! So its would 4^x -1

Answer 29

You got it :)

Answer 30

or the last one right now?

Answer 31

Yep. D.

Answer 32

Well done :)

Answer 33

im sorry if i wasn't explaining clearly enough
just let me know and ill try to work on my explanations

Answer 34

No its ok im just better with wording rather than just equations