Question

I think its B...

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) 2 4 8 16 32
g(x) 2 2 2 2 2


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

2^(x + 2)

2^x + 2

2^x + 2x

2(2^x)

Answer 1

can you find function f(x) in terms of x ?

g(x) is clearly, just 2

Answer 2

f(x)=x times 2

Answer 3

f(1) = 2 = 2^1
f(2) = 4= 2^2
f(3) = 8 = 2^3
f(4) =16 = 2^4
...

do you get any hint from here ?

Answer 4

if it was 2x, then f(3) would be 2*3 =6 and not 8

Answer 5

its like 2*2 then 4*2 then 8*2 etc...

Answer 6

yep, but in terms on 'x', it will be
\(2^x\)
and your answer B is correct :)

Answer 7

Oh ok Thank You!

Answer 8

welcome ^_^