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Black_prince [1.1K]
2 years ago
13

The domain of a function, f(x), is all numbers equal to or greater than 1 but less than 3. What is the correct notation for expr

essing this domain?
Mathematics
1 answer:
sveticcg [70]2 years ago
8 0

Answer:

{x | 1 ≤ x < 3}

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46.The function f graphed above is the function f(x) = log2(x) + 2 for x &gt; 0. Find a formula for the inverse of this function
pantera1 [17]

Answer:

The inverse for log₂(x) + 2  is - log₂x + 2.

Step-by-step explanation:

Given that

f(x) = log₂(x) + 2

Now to find the inverse of any function we put we replace x by 1/x.

f(x) = log₂(x) + 2

f(1/x) =g(x)= log₂(1/x) + 2

As we know that

log₂(a/b) = log₂a - log₂b

g(x) = log₂1 - log₂x + 2

We know that  log₂1 = 0

g(x) = 0 - log₂x + 2

g(x) =  - log₂x + 2

So the inverse for log₂(x) + 2  is - log₂x + 2.

3 0
3 years ago
Solve for x. Show the equation you used and your work.
IgorC [24]
Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.

In mathematical form, 
TV/VS = TW/WU

Substitute their values, 
14/6 = 21/(x+4)
14(x+4) = 21*6
14x+56 = 126
14x = 126-56
x = 70/14
x = 5

In short, Your Answer would be 5

Hope this helps!
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Answer:

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