Answer:
The answer is (a²+1)(2a+1)
Answer:

Step-by-step explanation:
Given

Required
Determine g(x), if f(x) is reflected across the y axis
<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>
<em />
In other words,

Calculating f(-x)


Substitute g(x) for f(-x)

<em>Hence;</em>

<span>
A= {a,b,c} . Since this set has 3 elements, the number
of its total subset is 2³ = 8 (including the Ф element):
Here below all the subsets of {a,b,c}, with their related probabilities, knowing that P(a) = 1/2 ; P(b) = 1/3 and P(c) = 1/6
{a} </span>→→→→1/2
<span>{b} </span>→→→→1/3
<span>{c} </span>→→→→1/6
<span>{a,b} </span>→→→→1/2 + 1/3 = 5/6
<span>{a,c} </span>→→→→1/2 + 1/6 = 2/3
<span>{b,c} </span>→→→→1/3 + 1/6 = 1/2
<span>{a,b,c} </span>→→→→1/2 + 1/3 + 1/6 = 1
<span>{∅} </span>→→→→0 =0
--------------------------------------------------
Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4
--------------------------------------------------
Formula
--------------------------------------------------
Perimeter = 2(length + width)
--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
--------------------------------------------------
Find Length and Width
--------------------------------------------------
Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
--------------------------------------------------
Answer: Length = 22m
--------------------------------------------------
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