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3 years ago

What is the domain of the function f(x)= ln(x^2-4)? Please show your work.

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

Hello,

A ln must have like argument a positive number.

x²-4>0 whose roots are 2 and -2.
To be positive, the value of must be exterior of the roots

so -infinity<x<-2 or 2<x<infinity

Dom f(x)=IR - [-2; 2].

snow_lady [41]3 years ago

6 0

F(x) = ㏑(x² - 4)

Domain: {-2 ≤ x ≤ 2}, or [-2, 2]

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Answer:

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3 years ago

Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value o

Advocard [28]

Well, let's use the Euclidean algorithm:

164 = 4×37 + 16

37 = 2×16 + 5

16 = 3×5 + 1

Then working backwards,

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2 years ago

Rewrite these in increasing order of length:<br> 133 dm. 433 cm, 308 km, 91 mm

Oksi-84 [34.3K]

$\boxed{91mm$

<h2>Explanation:</h2>

First of all, let's transform each measurement into meter knowing the following relationships:

$1dm=0.1m \\ \\ 1cm=0.01m \\ \\ 1km=1000 m \\ \\ 1mm=0.001m$

Therefore, we can compute the following:

$\bullet \ 133dm \rightarrow 133dm(\frac{0.1m}{1dm})=13.3m \\ \\ \bullet \ 433cm \rightarrow 433cm(\frac{0.01m}{1cm})=4.33m \\ \\ \bullet \ 308km \rightarrow 308km(\frac{1000m}{1km})=308,000m \\ \\ \bullet \ 91mm \rightarrow 91mm(\frac{0.001m}{1mm})=0.091m$

Writing this in increasing order:

$0.091m$

<h2>Learn more:</h2>

jovian planets in order of increasing distance from the Sun: brainly.com/question/12534549

#LearnWithBrainly

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3 years ago

William receives a weekly allowance according to the following formula: For each day that he remembers to do his chores, he eams

mash [69]

Answer = 150.75

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3 years ago