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Oduvanchick [21]
3 years ago
14

For f(x) = 1/x-5 and g(x)= x^2-2 find A. (fog)(x) and B. (Gof) (6)

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
For part a do f(g(x)) so 1/(x^2-2)-5 and for b do g(f(6)) go (1/(6-5))-5 (u substituted 6 in for x
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Answer:

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Step-by-step explanation:

(1) Last week Bob was paid total of $480 for the items that he produced that week.

(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.

a) Let's start with the simplest case:  he produced 36 or less items this week.

In this case he produced less than 36 items last week too.

So he was paid the same amount of dollar per item.

Using (1) and (2) assumptions we have:

$480+2X=$510

⇒2X=$510-$480

⇒2X=$30

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⇒X=$15

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Last week he was paid $480.

480/15= 32 items.

This week he was paid $510.

510/15=34 items.

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