Thread: 2 functions F(x) and G(x)

Two functions are defined as and

I have been stuck on this question for a long time and I have to find:





and



So can somebody please either give me the results with showing the process or just help me through with a detailed explanation.
I would be very grateful

Originally Posted by leonm92

Two functions are defined as and

I have been stuck on this question for a long time and I have to find:





and



So can somebody please either give me the results with showing the process or just help me through with a detailed explanation.
I would be very grateful

Evaluate g at x = -4, then put this value as x in f.

Follow a similar process for the second...


Edit: I think I may have made a mistake. Are you using fg and gf as the multiplication of the two functions or the composition of the two functions? If it's the latter, follow what I did...

I don't know to be honest but I followed what you said and it worked for both. Could you tell me what to do with please

Originally Posted by leonm92

I don't know to be honest but I followed what you said and it worked for both. Could you tell me what to do with please

Can you evaluate the inverse function of f? Write it as y = , then swap the x and the y values and transpose.

I've just been reading over it but I can't get my head around it

swap and (because that is what an inverse function does ... )



solve for ...