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makvit [3.9K]
3 years ago
9

For the function f(x)= log5 3x-10 explain why x=2 is not in the domain

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:


Step-by-step explanation:

The simple answer is that logs cannot be negative and if you insert a 2 where the x is located you get a negative. Logs have to be >= 0

[text]log_5 (3x-10) = log_5 (-4)[tex]

It all has to do with logs being tied to exponents and exponents being tied to logs. Actually an inverse of an exponent is a log.

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Vika [28.1K]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
At what x value does the function given below have a hole?<br><br> f(x)=x+3/x2−9
S_A_V [24]

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

4 0
2 years ago
6 1/2 minus 5 3/4 in math
Nata [24]

Answer:

0.75, or 3/4

Step-by-step explanation:

Hope this helps! :D

7 0
2 years ago
Read 2 more answers
5.5% sales tax on a 59.99 lamp
VikaD [51]

Answer:

$63.29

Step-by-step explanation:

1. $59.99* 5.5%= 3.29945

2. 3.29945 +$59.99 = 63.28945

3. round to $63.29

there i hope i help :)

7 0
2 years ago
The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) write an equation, in function nation
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An equation is y = 2x-1

And then draw a line or something to show that the equation is true

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