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Kipish [7]
3 years ago
7

For all the values of x, f(x)=x²+3 g(x)=2x-1 a) find fg(2) b) find gf(2)

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

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Answer:

Helene is right

Step-by-step explanation:

Mathematically, the expected values is defined as the sum of all the possible outcomes that an event can have times the probality of the respective outcome:

x = ∑ p *i,

where x is the expected value, i represents every outcome that can occur, and p is the probability of said outcome.

Now, for the case of a dice, the expected value would be:

x = 1 * \frac{1}{6} + 2 * \frac{1}{6} + 3 * \frac{1}{6} + 4 * \frac{1}{6} + 5* \frac{1}{6} + 6 * \frac{1}{6},

as every outcome has the same chance of happenning. Solving we get that:

x= \frac{1}{6} *(1 +2 +3 +4+5+6) = \frac{1}{6} * 21 = 3.5

Helene is right.

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3 years ago
Divide 5 by 4 is your answer a rational number explain
Elden [556K]
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6 0
4 years ago
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Find the value of x, rounded to the nearest tenth. Answers : a.)12.5 b.)9.7 c.) 10.0 d.) 13.0
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Remember "SOH CAH TOA"


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