The Student Room Group

Function

True or False: If the following is true, explain or prove why. If the following is false, give a counterexample that disproves the statement.“For all functions , ℎ, we have f∘(g + ℎ) = f∘g+ f∘ ℎ.”
what does the small circle mean?
Reply 1
Original post by COOOOOT
True or False: If the following is true, explain or prove why. If the following is false, give a counterexample that disproves the statement.“For all functions , ℎ, we have f∘(g + ℎ) = f∘g+ f∘ ℎ.”
what does the small circle mean?


composition
Reply 2
Original post by Naruke
composition


how to solve the question?
Reply 3
Original post by COOOOOT
how to solve the question?


The question is asking you whether the two expressions equal each other.

To put it another way, if we say f(x)=2x2+5 f(x) = 2x^{2} + 5
Are these two equal?
f(4+7) f(4+7) and f(4)+f(7) f(4) + f(7)

This is all the question is asking, and for you to prove it.
So if it does work - show exactly how.
And if it doesn't work show that it doesn't :h:

Quick Reply

Latest