<span><span><span>Given <span>f(x) = 2x + 3</span><span> and </span><span>g(x) = –x2 + 5</span><span>, find </span></span><span>(<span> f</span> </span>o<span> f )(x</span><span>).</span></span><span>(<span> f</span> </span>o<span> <span>f </span>)(x) = f (<span> f</span> (x))</span><span>
</span><span> = f (2x + 3)</span><span>
</span><span> = 2( ) + 3 </span>... setting up to insert the input<span>
</span><span> = 2(2x + 3) + 3</span><span>
</span><span> = 4x + 6 + 3</span><span>
</span> <span>= 4x + 9</span></span><span><span><span><span>Given </span><span>f(x) = 2x + 3</span><span> and </span><span>g(x) = –x2 + 5</span><span>, find </span></span><span>(g</span><span> o</span><span> g)(x</span><span>).</span></span><span>(g </span>o<span> g)(x) = g(g(x))</span><span>
</span><span> = –( )2 + 5 </span>... setting up to insert the input<span>
</span><span> = –(–x2 + 5)2 + 5</span><span>
</span><span> = –(x4 – 10x2 + 25) + 5</span><span>
</span><span> = –x4 + 10x2 – 25 + 5</span><span>
</span><span> = </span><span>–x4 + 10x2 – 20</span></span>
Sometimes you have to be careful with the domain and range of the composite function.
<span><span><span>Given </span><span>f (x) = sqrt(x)</span><span> and </span><span>g(x) = x – 2</span><span>, find the domains of </span><span>(<span> f</span> </span>o<span> g)(x)</span><span> and </span><span>(g </span>o<span> f )(x)</span>.</span></span>
Answer: Birth-weight (Kilogram) Number (n) Percentage (%)
4.1 – 4.5 4 1.0%
Total 387 100%
Step-by-step explanation: In this sample of newborns, the minimum birth-weight was 2.5 Kg, and no babies were low-birth-weight (< 2.5 Kg) according to the WHO criteria. However, the vast majority (51%) of babies weighed between 2.5 Kg and 3.0 Kg at birth
Answer: Choice B) 3/5
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Explanation:
The smaller horizontal side is JM = 15
The larger horizontal side is NQ = 25
The ratio of these corresponding sides is:
small/large = 15/25 = (5*3)/(5*5) = 3/5
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Alternatively,
The smaller vertical side is ML = 18
The larger vertical side is QP = 30
The ratio of these corresponding sides is:
small/large = 18/30 = (6*3)/(6*5) = 3/5
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Either way, the answer is 3/5
Well since the line is headed to the left side, you know it has a negative slope, so B and C can be crossed out. Then, you know that point-slope form is written as y - y1 = m (x - x1)
So, you just plug in the numbers given on the graph, (4,-2)
You should come out with y + 2 = -2 (x - 4)
And that's the equation of the line in point-slope form!!! :)
Hope it helped and you understand it better!
D.) y + 2= -2 (x - 4)
Answer:
4- 4Step-by-step explanation:
