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igomit [66]
3 years ago
5

If c(x)= 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?

Mathematics
1 answer:
Nataly [62]3 years ago
3 0

(fg)(x)=f(x)\cdot g(x)\\\\\text{We have}\ c(x)=\dfrac{5}{x-2}\ \text{and}\ d(x)=x+3.\ \text{Substitute}\\\\(cd)(x)=\dfrac{5}{x-2}\cdot(x+3)=\dfrac{5(x+3)}{x-2}\\\\\text{Domain:}\\\\\text{The denominator must be different than zero. Therefore}\\\\x-2\neq0\to x\neq2\\\\Answer:\ \text{Domain is the set of all real numbers except 2}\to D=\mathbb{R}-\{2\}

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3 years ago
Raphael had 5 hits in 7 at bats. If he continues this pattern, how many hits will he have in 210 at bats?
devlian [24]

So it tell us that he is able to get 5 hits out of 7 and to find how much he could make if 210 chances
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Then we leave our variable alone
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3 years ago
Help me I am bad with percentages
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4 0
3 years ago
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3 years ago
Which of the following is a solution to sin(x/2) = radical 3/2
Vinvika [58]

Answer:

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from inside the sine.

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/x 2 = − π /3

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Simplify the expression to find the second solution.  

x = 2 π /3  

4 π

Add  4 π  to every negative angle to get positive angles.  

x = 10 π /3

The period of the  sin ( x /2 )  function is  4 π  so values will repeat every  4 π  radians in both directions.

x =2 π /3 + 4 π n , 10 π/ 3 + 4 π n , for any integer  n

Exclude the solutions that do not make  sin ( x /2 ) = − √ 3/ 2  true.

x = 10 π /3 + 4 π n , for any integer  n

4 0
3 years ago
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