inverses

[gcfan4life1023]

I have no clue how to start this problem find f(g(x)) for f(x)= x-5 and g(x)= x+12
Can somebody please help me and please include some explanations on how to do the problem because i am so lost. Thanks
I understand that the problem is asking to find f of g of x for f(x) which stands for y i think but i dont know how to start like the problem. in my book there are inverse problems where you switch the x and y but I don't know if that is how you solve this problem someone please help..

 

[stapel]

I have no clue how to start this problem....Can somebody please...include some explanations....

I'm afraid we can't teach courses here, and I couldn't find any lessons on composition of functions on this site, so see if you can find something helpful in the search engines. For instance, the following list of results looked like it might contain some useful information.

. . . . .Google: "composition of functions" results

Once you've learned what the notation means and the basics of how to do composition, please attempt the exercise. If you get stuck, please reply showing how far you've gotten. Thank you.

Eliz.

 

[gcfan4life1023]

inverse

for the problem find f (g(x)) for (x) =x-5 and g(x) = x+12
I checked with my teacher today and he explained that the problem is asking to find f of g of x for x which i knew that but i didnt know what i was suppose to do. He explained that im suppose to take g of x (x+12) and put it in for x in f(x)= x-5
so the problem would be
x +12-5 which equals x+7 so it would equal -7 right???

 

[Unco]

f(g(x)) = x + 7 <- yes, correct.

You would only get a numerical value out of it if you evaluate it with x = some number.

f(g(-14)) = -14 + 7 = -7 . . . if you really want to get -7.