How do you find (h-g)(t)(hg)(t) given h(t)=2t+1h(t)=2t+1 and g(t)=2t+2g(t)=2t+2?

1 Answer
May 26, 2017

(h-g)(t)=-1(hg)(t)=1

Explanation:

color(blue)("Preamble")Preamble

h(t)h(t) is just an identifier for a particular process applied to the variable tt

So h(t)=2t+1 and h(s)=2s+1 and h(b)=2b+1h(t)=2t+1andh(s)=2s+1andh(b)=2b+1

So g(t)=2t+2 and g(s)=2s+2 and g(b)=2b+2g(t)=2t+2andg(s)=2s+2andg(b)=2b+2
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color(blue)("Answering the question")Answering the question

The question can also be written as: h(t)-g(t)h(t)g(t)

h(t)->2t+1h(t)2t+1
g(t)->ul(2t+2)larr" subtract"
" "0t-1

(h-g)(t)=-1