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marshall27 [118]
2 years ago
8

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

Mathematics
1 answer:
wolverine [178]2 years ago
5 0
For domain 2x sqrt(2+x)>0
x>0,2+x>0,x>-2 combining 
we get x>2
f'(x)=[1/{2x sqrt(2+x)}][{2x/(2 sqrt(2+x))}+2 sqrt(2+x)]
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14a^8c^9 + 2a^4c^3 [Algebra]
rosijanka [135]

Answer:

im not the best at algebra but

2a+3b+4c

Step-by-step explanation:

subtract

(2a−3b+4c) from the sum of (a+3b−4c),(4a−b+9c) and (−2b+3c−a).

add

=(a+3b−4c)+(4a−b+9c)+(−2b+3c−a)

=(a+4a−a)+(3b−b−2b)+(−4c+9c+3c)

=4a+8c

then subtract

=(4a+8c)−(2a−3b+4c)

=4a+8c−2a+3b−4c

=2a+3b+4c

3 0
2 years ago
A 5-pound bag of flour costs $9.60. What is the price per ounce?
Fofino [41]

Answer:

A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce? (1 pound = 16 ounces) a. $0.06.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
(12x5+3x25)-8<br><br> 12x5=60<br> 3x25=75<br> 60+75=135<br> 135-8=127
lions [1.4K]

Answer:

127

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
70 POINTS!
Sunny_sXe [5.5K]
Notation

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

Inverses

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

<span><span>for every x in the domain of f, f<span> -1</span>[f(x)] = x, and</span><span>for every x in the domain of f<span> -1</span>, f[f<span> -1</span>(x)] = x</span></span>

The domain of f is the range of f -1 and the range of f is the domain of f<span> -1</span>.

Graph of the Inverse Function

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

6 0
3 years ago
How do you solv divisions like 60/19. Please someone tell me fast
MatroZZZ [7]

Answer:

The first thing you do is:        

Step-by-step explanation:

How to calculate 60 divided by 19

Here we will show you step-by-step with detailed explanation how to calculate 60 divided by 19 using long division.

Before you continue, note that in the problem 60 divided by 19, the numbers are defined as follows:

60 = dividend

19 = divisor

Step 1:

Start by setting it up with the divisor 19 on the left side and the dividend 60 on the right side like this:

           

 1 9 ⟌ 6 0  

Step 2:

The divisor (19) goes into the first digit of the dividend (6), 0 time(s). Therefore, put 0 on top:

       0    

 1 9 ⟌ 6 0  

Step 3:

Multiply the divisor by the result in the previous step (19 x 0 = 0) and write that answer below the dividend.

       0    

 1 9 ⟌ 6 0  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (6 - 0 = 6) and write the answer below.

       0    

 1 9 ⟌ 6 0  

     - 0    

       6    

Step 5:

Move down the 2nd digit of the dividend (0) like this:

       0    

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 6:

The divisor (19) goes into the bottom number (60), 3 time(s). Therefore, put 3 on top:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

Step 7:

Multiply the divisor by the result in the previous step (19 x 3 = 57) and write that answer at the bottom:

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

      5 7  

Step 8:

Subtract the result in the previous step from the number written above it. (60 - 57 = 3) and write the answer at the bottom.

       0 3  

 1 9 ⟌ 6 0  

     - 0    

       6 0  

     - 5 7  

         3  

3 0
2 years ago
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