# Find image

• March 29th 2009, 03:11 PM
relyt
Find image
Ok, this is the last one before I call it quits for the weekend. (Rofl)

Let A = {0, 1, 2, 3, 4, 5} and let B = {0, 1, 2, 3, 4, 5, 6}.
Define by the rule g(x) = |x – 3|

1. What is the image of g?
I think the image of g would be {0,1,2,3}

2. What is ${x \in B | x – 1 \in A }$
... I think this would be {0, 1, 2, 3, 4, 5, 6}??

• March 29th 2009, 03:35 PM
Plato
Quote:

Originally Posted by relyt
Ok, this is the last one before I call it quits for the weekend. (Rofl)

Let A = {0, 1, 2, 3, 4, 5} and let B = {0, 1, 2, 3, 4, 5, 6}.
Define by the rule g(x) = |x – 3|

What is the image of g?
I think the image of g would be {0,1,2,3}

Correct.
• March 29th 2009, 04:09 PM
relyt
Yes!!

Is the 2nd part of my question correct as well?

Let A = {0, 1, 2, 3, 4, 5} and let B = {0, 1, 2, 3, 4, 5, 6}.
Define by the rule g(x) = |x – 3|

2. What is {x $\in$ B | x – 1 $\in$ A }
... I think this would be {0, 1, 2, 3, 4, 5, 6}??