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jolli1 [7]
3 years ago
13

Kellie is given the following information:

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

She used inductive reasoning. (False)

She used the law of detachment.  (True)

Her conclusion is valid.  (True)

The statements can be represented as "if p, then q and if q, then r."  (False)

Her conclusion is true. (True)

Step-by-step explanation:

p = Two lines are perpendicular

q = They intersect at Right angles.

Given: A and B are perpendicular

Conclusion: A and B intersect at right angle.

According to the law of detachment, There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below.

Statement 1: If p, then q.

Statement 2: p

Conclusion: q

In our case the pattern is followed. The truth of the premises logically guarantees the truth of the conclusion. So her conclusion is true and valid.

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If f(x)=3x and g(x)=2x what is (gof)(x)?
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Answer:

Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x   g(x) = x+3    

Given f(x) and g(x), please find (fog)(X) and (gof)(x)

f(x) = 2x   g(x) = x+3    

print Print document PDF list Cite

Quick Answer

(fog)(x) = 2x + 6

(gof)(x) = 2x + 3

Expert Answers

HALA718 eNotes educator| CERTIFIED EDUCATOR

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

            = f(x+3)

              = 2(x+3)

              = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

           = g(2x)

          = 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:


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