Need a bit of help.
Trying to find the image sets of two recipricol functions.
The first g(x)=1/(x-2)+5 (x not equal to 2)
The second g(x)=1/(x-2)+5 (x>2)
Now its quite easy to draw/sketch the graph but ive not really dealt with image sets of recipricol f functions before and so im getting a bit confused where to look.
I know the image set is the y axis and the domain is the x axis so...
am I right if I say
the first image set where x cant equal 2 is this:
[-∞,5)∪[5,∞)
and the second is where I get very lost.
From looking at the graph it seems that the image set is again
[5,∞)
When x > 2.
But it doesnt seem correct to me.