# Functions CIE

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#1
For this question:

https://gyazo.com/5e1768cf90d1d5a15eb9a2b7120a039d

I'm getting for the first part ( which is the one I'm having problem with) the domain of f to be x>- (bigger or equal don't know how to put the line under >) -5/2.

Mark scheme says its -9/4.

My question is how do you obtain the domain then after finding the inverse of the inverse function?

I do 2x+5= 0
2x = -5
x = -5/2

Can someone tell me how you obtain -9/4 and the method you would always use? Please
0
3 years ago
#2
From the diagram, the function maps to

What is ?

Then after, can you come up with what is?
0
3 years ago
#3
(Original post by Jian17)
For this question:

https://gyazo.com/5e1768cf90d1d5a15eb9a2b7120a039d

I'm getting for the first part ( which is the one I'm having problem with) the domain of f to be x>- (bigger or equal don't know how to put the line under > -5/2.

Mark scheme says its -9/4.

My question is how do you obtain the domain then after finding the inverse of the inverse function?

I do 2x+5= 0
2x = -5
x = -5/2

Can someone tell me how you obtain -9/4 and the method you would always use? Please
Domain of is the range of

Range of is the domain of

Applying to your question, you want the domain of , which is the range of . So, what is the range of ? Note that .
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