2 Answers

Draca · Answer 1 · 2020-04-01T01:23:47+0000

Hello!

The answer is:

C.
F(x)=2^(x)-1

In order to find the correct option, we need to substitute/evaluate the given values of "x" into each function.

Substituting into the first equation, option A:

$F(x)=3^(x) \\F(3)=3^(3)=27\\F(3)=3^(4)=81$

... and so.

We can see that the option A is not the correct option since the obtained values do not match with the given values.

Substituting into the second equation, option B:

$F(x)=3x\\F(3)=3*3=9\\F(4)=3*4=12\\$

... and so.

We can see that the values obtained from the function do not match with the given values, so the option B is not correct.

Substituting into the third equation, option C:

$F(x)=2^(x)-1\\F(3)=2^(3)-1=8-1=7\\F(4)=2^(4)-1=16-1=15\\F(5)=2^(5)-1=32-1=31\\F(7)=2^(7)-1=128-1=127\\F(8)=2^(8)-1=256-1=255\\$

So, since all the obtained values match with the given values, we can conclude that the correct option is the option C.

Have a nice day!