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ParthKohliBest ResponseYou've already chosen the best response.4
I think that this is pretty easy for you. We know,\[(g \circ f)(x) = g(f(x)) \]Therefore, our composition simplifies as the following:\[(g \circ f)(x) \implies g(f(x)) \implies g(2x  1) \implies (2x  1) +2 \]
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
Do you get the above?
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
... or should I be more informal? lol
 one year ago

kymberBest ResponseYou've already chosen the best response.3
I don't understand what composition means :I
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
Never mind that "composition" word. lol
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
Do you still understand my explanation?
 one year ago

kymberBest ResponseYou've already chosen the best response.3
No. I don't understand what I'm supposed to be doing at all! :'(
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
I'd give you an example.\[\sqrt{x + 1} \]We're doing two things to \(x\). First, we are finding the square root of x, then we are adding 1 to x. So,\[x + 1\]is the composition of two functions: \(\sqrt{\text{stuff}}\) and \(\text{stuff} + 1\).
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
Here, we are again doing two things to \(x\). First, we are multiplying two to it and adding 1(which is \(2x  1\)) Then, we are adding two to that number.
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
Operation Multiply Two And Subtract 1 got a boring name, which is f(x). Operation Add Two To Whatever Comes In Our Way got the name g(x).
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
\(x\) went to Operation Multiply Two And Subtract 1, and then became \(2x  1\). Sad :(
 one year ago

ParthKohliBest ResponseYou've already chosen the best response.4
And then it went to Operation Add Two To Whatever Comes In Our Way and became \(2x  1 + 2 = 2x + 1\)
 one year ago
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