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Lostsunrise [7]
3 years ago
5

What is the domain of f(x) = log2(x + 3) + 2?

Mathematics
2 answers:
Usimov [2.4K]3 years ago
6 0

x>-3

Step-by-step explanation:

Marysya12 [62]3 years ago
5 0
Remember that you cannot take the log of a negative number, regardless of the base. Also, you can take the logarithm of zero, since no number raised to a power can equal zero (although it come very close). 

Therefore, (x+3), the number inside the logarithm, must be greater than zero. 

x+3 > 0
x > -3 
The domain is x > -3,
or (-3, ∞) in interval notation
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I hope that this is correct and that it helps✨❤️
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3 years ago
The area of a rectangle gets reduced by 9 sq. units,if its length is reduced by 5 units and Breadth is increased by 3 units.If w
Scilla [17]

Let the length and breadth of the rectangle be x and y.

Area of rectangle is A = xy

Therefore, the new length will be = x-5

Therefore, the new breadth will be = y + 3

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Now the new relation will be (x+3)(y+2)=xy+67

.

Cross – multiplication method–

\dfrac{x}{{{b_1}{c_2} - {b_2}{c_1}}} =\dfrac{y}{{{a_2}{c_1} - {c_2}{a_1}}} = \dfrac{1}{{{a_1}{b_2} - {a_2}{b_1}}} || x = \dfrac{{{b_1}{c_2} - {b_2}{c_1}}}{{{a_1} {b_2} - {a_2}{b_1}}} y = \dfrac{{{a_2}{c_1} - (c_2}{a_1}}}{{{a_1}{b_2}-{a_2}{b_1}}}\\

\Rightarrow \dfrac{x}{{305 - ( - 18)}} =\dfrac{y}{{ - 12 - ( - 183)}} = \dfrac{1}{{9 - 10)}}\\\

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5 0
2 years ago
A large botanical garden has a total of 500 trees, bushes, and cacti. Pie chart with the following pieces: blue section titled t
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3 years ago
Read 2 more answers
The function j(x)=39x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in
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The function j(x)=39x is the number of jumping jacks you can do in x minutes how many can you do in 5 minutes'?

This is asking you to evaluate the function when x is 5...so all you do here is substitute 5 for x and simplify.. since the question defines "x" as the number of minutes...and j(x) represents the number of jumping jacks.


j(x) = 39x

j(5) = 39(5)

j(5) = 195 <--- answer...


So you do 195 jumping jacks in 5 minutes

I really hope this helps :)
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3 years ago
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Answer:

f(n)= -40.

Step-by-step explanation:

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