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)?

4^x - 1x
-1(4^x)
4^x - 1
4^x - 1

Answer 1

@vishweshshrimali5

Answer 2

@welshfella

Answer 3

in case of g(x) its always -1
you now need to find f(x) as a formula

hwo can we get 4 16 64 and 256 from x = 1 ,2 3 and 4?

Answer 4

do you see the pattern.?

Answer 5

Yes, you multiply by 4 every time

Answer 6

Also, for the third option both the x and the -1 are exponents

Answer 7

@welshfella

Answer 8

yes you multiply by 4 to get the next term but what is the relation between each value of x and its corresponding value of f(x)

how can we get from 1 to 4
2 to 16
3 to 64

using 1 formula

Answer 9

look at the options for a clue
4 is involved in the formula
which one of the first terms in the options looks likely?

Answer 10

option d

Answer 11

4^x is correct for f(x) as

x = 1: 4^1 = 4
x = 2 4^2 = 16
x = 3 4^3 = 64 etc

Answer 12

But c and d are the same . Looks like one is wrong

Answer 13

Yes for c the hole thing, x-1, is the exponent

Answer 14

4^x - 1 is the correct option. For g(x) its always = -1 whatever the value of x.

Answer 15

OH OK
well its d because you are adding: f(x) + g(x)

Answer 16

OK?

Answer 17

sorry but i gotta go right now.

Answer 18

ok that's fine. thank you