Question 1189756: f(x)=x^2-3
h(x)=3Ix-9I-10 I= absolute value sign
Find f(h(4))
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source):
Answer by ikleyn(52790)  (Show Source):
You can put this solution on YOUR website! .
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.
Step 1. First, calculate h(4) = 3 * |4 - 9| - 10 = 3*5 - 10 = 15-10 = 5.
Step 2. 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. ANSWER
Done and completed. // Done and completed. // Done and completed.
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Making other way, as @MathLover1 does, is REALLY BAD WAY.
She instructs you to derive complicated formula and then follow this complicated formula, while there is much more simple way.
Following the @MathLover1 methodology, you INEVITABLY will make many mistakes on the way,
while making it step by step, as I instruct you, SIMPLIFIES you work and make it much more error-proof.
Again, in this assignment, NOBODY REQUIRES you to derive long formula for the composition.
It is UNNECESSARY EXCESSIVE job, which will lead you to making mistakes.
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From appearing the post by @MathLover1, 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 . . .
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