Answer:
what is the question?
Step-by-step explanation:
i need the question to answer
Answer:
Width = x-6 metres
Step-by-step explanation:
The formula for the area of a rectangle is represented by Length (l) × Width (w).
If the area is x^2-4x -12, which is an algebraic expression, The best way to find its length and breadth which would be a product of themselves is by FACTORIZATION.
To factorize x^2-4x -12, we say:
×^2 = a, -4x = b, -12 = c
Product: a×c; -12 × x^2= -12x^2
Sum: b; -4x derived by saying (-6x+2x)
Note that the expression of the sum (-6x+2x) must be able to be multiplied to give product (-12x^2).
Hence, we rewrite our algebraic expression using the sum expression.
x2 - 6x + 2x - 12
We then factorize by using a common factor (x and 2)
x( x - 6) + 2 (x - 6)
(x+2) (x-6)
Thus, the factors are x+2 and x-6
This means that (x+2) and (x-6) will be multiplied to give x^2-4x-12. Therefore, if x+2 metres is the Length, x-6 metres is the width.
If f(x)= 3x+2 and g(x)= 4x, then
f(x)+g(x) = 3x+2+4x
= 7x+2
For f(g(x)), you work from the inside and work your way out. Another way of thinking is to go from right to left. (Inside/out and right/left are the same simply using different wording).
So what is g(x)? 4x.
Now, you take 4x and plug it into the f(x).
** Math--> English translation:
Look at the f(x) equation. Wherever you see an x in the f(x), replace the x with 4x [because 4x is the g(x)]. Basically, plug the g(x) into f(x).
So:
f(g(x)) becomes
f(4x) becomes
3 (4x)+2 = 12x+2
** Disclaimer: Notation may be inaccurate.
That's your answer. (Usually you leave it as so, but if your instructor wants it factored, then proceed).
As for the third part, I am unsure of a clear answer, so I am unable to provide an answer at the time.
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Hope that helped.
DISCLAIMER:
Always double check with a reliable source, as mistakes are a possibility. Never use this, or any, platform to cheat.
