Question:

Compostions,doman & notations?

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(a)

Let f(x) = |x - 2|, g(x) = √x (square root of x) and h(x) = x^-1 (x to the power of -1).

Find the following COMPOSITIONS and state their DOMAIN in INTERVAL NOTATION:

(i) f ○ g

(ii) h ○ g

(iii) (h ○ g) ○ f

(b)

Let f(x) = 1 ÷ sin(x + π).

Express f(x) as a COMPOSITIONS of three functions (in the right order!) and state the DOMAIN of f in SET NOTATION.

Please Help! the question asks part (a) compostion & domain in interval notation. Part (b) asks composition & domain in set notation.

I asked this question before but some answers given didnt answer the actual question asked. Please give a clear answer using the correct signs so it will be easier for me to understand as im really finding this difficult.

Use these any signs to give a clear answer { } ∩ U ] [ ( ) | ≤ ≥ ∞ Є ÷ ○ π

Thankyou for ur help!

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  1. I looked at these for a while, but they are really over my head.  I also looked to see if you had posted these in the mathematics and physics sections as well ... but your questions aren't visible.  Oh well.  

    Anyways, try posting these in the maths section to see if you can get help.

    Good luck!

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