f(x)=x^2+1 h(x)=x-2
1. find function of (foh)(x)
2. state the domain using interval notation

Question

f(x)=x^2+1 h(x)=x-2 
1. find function of (foh)(x) 
2. state the domain using interval notation

welshfella · Answer

(f o h) x  can be found by replacing the 'x' in x^2 + 1  by  h(x)  ( that is x - 2) and simplifying the result

welshfella · Answer

so we have
(x - 2)^2 + 1
simplify

anonymous · Answer

so x^2-4x+5

welshfella · Answer

yep

anonymous · Answer

ok how do I state the domain for that ?|dw:1457111050461:dw|

welshfella · Answer

thats also correct. All polynomials have this domain.

anonymous · Answer

thank you....I get confused when the o is between the f and h or sometimes g and h

anonymous · Answer

I have 1 more if you could help me

anonymous · Answer

find the function of (gof)(x) simplify and state the domain for 
f(x)= 3/x
g(x) =1/x

anonymous · Answer

I can do it in another question if you would like so I can give another badge

welshfella · Answer

ok

anonymous · Answer

ok I am closing this one and submitting it in a new question.