Question

F: A → B, f(x) = (x−2)/3 and B=[-1;2); A=?

A) [-1;4)

B) [-2;3)

C) [-1;8)

D) (-4;1]

Answer 1

Explanation:

so, we need to find the x values (A) that create the defined result values (f(x)) of B.

so, when taking the lower interval limit of B as the first f(x), we get

-1 = (x-2)/3

-3 = x - 2

-1 = x

so, the lower interval limit for A is also -1.

-1 as input value for the function delivers also -1 as functional result.

now for the upper limit :

2 = (x-2)/3

6 = x - 2

8 = x

so, the upper interval limit for A is 8.

and since the limit is excluded for B, it is also excluded for A.

so, C) is the correct answer.