Question

Determine which of the following statements is true.

Answer 1

Answer:

Option D is correct.

Step-by-step 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.

Answer 2

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