Question

Theres another answer choice thats four but it got cut out please help pretty easy question

Answer 1

We conclude that:

f(g(3)) = 2

Hence, option B is correct.

Explanation:

Given the f(x) table

x 2 3 4 5

f(x) 0 1 2 3

Given the g(x) table

x 1 2 3 4

g(x) 1 2 4 8

We need to determine f(g(3)).

In order to determine f(g(3)), first, we need to determine g(3)

It is clear from the table of g(x),

at x = 3, g(3) = 4

so

f(g(3)) = f(4)

Now, we need to check the value of f(4) at x = 4 using the table f(x)

It is clear from the table of f(x),

at x = 4, f(4) = 2

Thus,

f(g(3)) = f(4) = 2

Therefore, we conclude that:

f(g(3)) = 2

Hence, option B is correct.