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2 years ago

If a(x) = 3x + 1 and b (x) = StartRoot x minus 4 EndRoot, what is the domain of (b circle a) (x)?

Mathematics

1 answer:

Vladimir79 [104]2 years ago

5 0

Answer:

x ≥ 1

Step-by-step explanation:

There are no domain restrictions on a(x), so we can find the domain of the composite function by looking at that composition:

$(b \circ a)(x)=b(a(x)) = b(3x+1)=\sqrt{(3x+1)-4}\\\\(b \circ a)(x)=\sqrt{3x-3}=\sqrt{3(x-1)}$

The argument of the square root function must be non-negative, so we must have ...

3(x -1) ≥ 0

x -1 ≥ 0 . . . . . divide by 3

x ≥ 1 . . . . . . . add 1

The domain of b(a(x)) is x ≥ 1.

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3 years ago

Choose any positive integer. Powers of two here are not very interesting, so choose something else. If the number you have chose

Yakvenalex [24]

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Step-by-step explanation:

Let the integer be 6 for even and 7 for odd (say)

For 6, we divide by 2, now get 3. Now we multiply by 3 and add 1 to get 10. Now since 10 is even divide by 5, now multiply by 3 and add 1 to get 16. Now divide by 2 again by 2 again by 2 again by 2 till we get rid of even numbers.

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3 years ago

Math 2 Of high school

Daniel [21]

Answer:

B. BC = 18 so ∆ABC ～ ∆DEF by SAS

Step-by-step explanation:

$\bf \cfrac{AB}{DE} = \cfrac{BC}{EF}$

$\bf \cfrac{15}{10} = \cfrac{BC}{12}$
$\bf \cfrac{3}{2} = \cfrac{BC}{12}$
$\bf BC = \cfrac{3}{2} \times 12$
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$\bf \angle B = \angle \: E$

So, ∆ABC ～ ∆DEF by SAS.

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2 years ago

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that

mojhsa [17]

6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.

Let's suppose x hours Zoey can expect from the tablet on a full battery charge.

The value of x can be calculated using:

x = (2×100)/33

x = 200/33

x = 6.06 ≈ 6 hours

Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

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1 year ago