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Helga [31]
3 years ago
8

Solve the following equation. log(3x)=log(2x-4) *

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

log(3x) = log(2x-4)

taking antilog of both sides:

3x = 2x - 4

3x - 2x = -4                    [subtracting 2x from both sides]

x = -4

and we're done already!

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For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x).
barxatty [35]

Answer:

(16x + 21) and (16x - 6)

Step-by-step explanation:

f(g(x)) = f(6 + 4x)

Applying the f(x) function on (6 + 4x) gives

4(6 + 4x) - 3

Which equals 16x + 24 - 3

= 16x + 21

g(f(x)) = g(4x - 3)

Applying the g(x) function on (4x - 3) gives

6 + 4(4x - 3)

Which equals 6 + 16x - 12

= 16x - 6

7 0
3 years ago
Greatest to least 1/3 1/2 3/4
schepotkina [342]
The answer will be 3/4, 1/2, and 1/3.
The bigger the fraction the smaller it is.
So 3/4 would be first .
The smaller the fraction the bigger it is.
So 1/3 would be last.
So that leaves you with 1/2 so that one would be in the middle of the set.
So the answer would be...:3/4, 1/2, and 1/3.
Hope that helped.
4 0
3 years ago
Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
REY [17]

Answer:

E) None of the above

Step-by-step explanation:

Given f(x)=\sqrt{x} and g(x)=x+2, then f(g(x))=\sqrt{x+2}. This shifts the graph of the parent function f(x)=\sqrt{x} 2 units to the left. Thus, the domain of the function is [-2,\infty), making none of the above true.

8 0
2 years ago
Explain why the square root of a number is defined to be equal to that number to the 1/2 power<br>​
denis23 [38]

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

4 0
3 years ago
Express each repeating decimal as a fraction.<br><br> 1. <br> 1.8[4]<br><br> 2.<br> 2.1[26]
Viefleur [7K]
Hello,

1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45

2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198


4 0
3 years ago
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