Question 1189756
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f(x)=x^2-3
h(x)=3Ix-9I-10             I= absolute value sign

Find f(h(4))
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           A simplest and the most natural way to complete such assignment 
           is to do things / calculations step by step, 


           WITHOUT  COMBINING  THEM  INTO  ONE  FORMULA.



<pre>
<U>Step 1</U>.  First, calculate h(4) = 3 * |4 - 9| - 10 = 3*5 - 10 = 15-10 = 5.


<U>Step 2</U>.  Now calculate f(h(4)) simply substituting the found value 5 
         instead of h(4) into the formula for f

             f(h(4)) = f(5) = 5^2 - 3 = 25 - 3 = 22.    <U>ANSWER</U>
</pre>

Done and completed. &nbsp;&nbsp;// &nbsp;&nbsp;Done and completed. &nbsp;&nbsp;// &nbsp;&nbsp;Done and completed. 


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Making other way, &nbsp;as @MathLover1 does, &nbsp;is &nbsp;REALLY &nbsp;BAD &nbsp;WAY.


She instructs you to derive complicated formula and then follow this complicated formula, while  there is much more simple way.



Following the &nbsp;@MathLover1 methodology, &nbsp;you &nbsp;INEVITABLY &nbsp;will make many mistakes on the way,


while making it step by step, &nbsp;as I instruct you, &nbsp;SIMPLIFIES &nbsp;you work and make it much more error-proof.



Again, &nbsp;in this assignment, &nbsp;NOBODY &nbsp;REQUIRES &nbsp;you to derive long formula for the composition.


It is &nbsp;UNNECESSARY &nbsp;EXCESSIVE &nbsp;job, &nbsp;which will lead you to making mistakes.



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From appearing the post by @MathLover1, &nbsp;there was only one benefit for you.


This benefit was that I came and explained you how to do it in a right way and warned you do not follow her way . . .