Question

Determine which of the following statements is true.

Answer 1

I think D is the answer beacuse all A,B, and C are incorrect.

Answer 2

Option D is correct.

Explanation:

Given functions are :

`f(x)=5x-2`

`g(x)=2^(x) +1`

Lets see how they change when x changes.

When x = 2

`f(2)=5(2)-2`

`f(2)=10-2`

`f(2)=8`

`g(2)=2^(2) +1`

`g(2)=4 +1`

`g(2)=5`

When x = 4

`f(4)=5(4)-2`

`f(4)=20-2`

`f(4)=18`

`g(4)=2^(4) +1`

`g(4)=16 +1`

`g(4)=17`

When x = 6

`f(6)=5(6)-2`

`f(6)=30-2`

`f(6)=28`

`g(6)=2^(6) +1`

`g(6)=64 +1`

`g(6)=65`

When x = 8

`f(8)=5(8)-2`

`f(8)=40-2`

`f(8)=38`

`g(8)=2^(8) +1`

`g(8)=256 +1`

`g(8)=257`

We can see that as the value of 'x' increases, the value of g(x) will exceed the value of f(x)

So, option D is correct.

Other options are not correct.