All categories

2 years ago

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

Mathematics

2 answers:

Orlov [11]2 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]2 years ago

6 0

F(x) = ㏑(x² - 4)

Domain: {-2 ≤ x ≤ 2}, or [-2, 2]

You might be interested in

What is 8241 divided by 173 with the remainder as a fraction

AURORKA [14]

Base on the question where as asking to divide 8241 by 173 and the remainder should be a fraction, base on my calculation and further research, I would say that the answer would be 1 and 110 over 8241. I hope you are satisfied with my answer and feel free to ask for more if you have questions

3 0

3 years ago

Read 2 more answers

Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute valu

dusya [7]

Inequalities are used to compare unequal expressions.

The actual comparison is: $\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$

The temperatures are given as:

$\mathbf{Temperature = -3.5F,\ \ 5F,\ \ 1.5F,\ \ -0.5F,\ \ -2F,\ \ 2.5F,\ \ -4F}$

From the above list, we have:

$\mathbf{Day \ 1= -3.5F}$

$\mathbf{Day \ 2= 5F}$

By comparison,

$\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$

Using absolute values, the inequalities are:

$\mathbf{|-3.5| < |5|}$ or $\mathbf{|5| > |-3.5|}$

Hence, the actual comparison is:

$\mathbf{-3.5 < 5}$ or $\mathbf{5 > -3.5}$

Read more about inequalities and absolute values at:

brainly.com/question/24797699

7 0

2 years ago

Read 2 more answers

armand deposited $389.42 in a savings account that earns 3.2% simple interest. what is armand’s account balance after 7 years?

butalik [34]

Okay so since we have $389.42 to start with, we will multiply that by 3.2% which gives us roughly $12.46. Knowing that he will get an additional $12.46 per year, we multiply 12.46 by 7, giving us $87.22. Now, we just add 87.22 to 389.42, which is 476.64. Therefore, Armand has $476.64 as his account after 7 years.

7 0

2 years ago

Write the algebraic expression to represent "Eight<br> more than a number".

fenix001 [56]

Answer:

8<x

Step-by-step explanation:

Allagater eats the bigger number

6 0

2 years ago

16. What is the written form of the decimal number .954

Svetach [21]

A because the other ones don't make sense

5 0

3 years ago

Read 2 more answers