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FrozenT [24]
4 years ago
15

For f(x)=√(2x+1) , find the following:

Mathematics
1 answer:
Wittaler [7]4 years ago
6 0

Part a.

The domain is the set of x values such that x \ge -\frac{1}{2}, basically x can be equal to -1/2 or it can be larger than -1/2. To get this answer, you solve 2x+1 \ge 0 for x (subtract 1 from both sides; then divide both sides by 2). I set 2x+1 larger or equal to 0 because we want to avoid the stuff under the square root to be negative.

If you want the domain in interval notation, then it would be \Big[ -\frac{1}{2} , \infty \Big) which means the interval starts at -1/2 (including -1/2) and then it stops at infinity. So technically it never stops and goes on forever to the right.

-----------------------

Part b.

I'm going to use "sqrt" as shorthand for "square root"

f(x) = sqrt(2x+1)

f(10) = sqrt(2*10+1) ... every x replaced by 10

f(10) = sqrt(20+1)

f(10) = sqrt(21)

f(10) = 4.58257569 which is approximate

-----------------------

Part c.

f(x) = sqrt(2x+1)

f(x) = sqrt(2(x)+1)

f(x+2a) = sqrt(2(x+2a)+1) ... every x replaced by (x+2a)

f(x+2a) = sqrt(2x+4a+1) .... distribute

we can't simplify any further

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<u><em>Matteo is 4 inches taller than Nico. </em></u>

<u><em>Sarah is wrong because she didn't consider the conversion rate from ft to inches. </em></u>

  • We are told that;

Height of Matteo = 4 feet 3 inches

Height of Nico = 3 feet 11 inches.

  • Now to find the difference in height, we need to first convert both of their heights to inches.

From conversion tables, we know that;

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Read more at; brainly.com/question/16978154

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A girl studied for 5 2/3 hours daily. She devotes 2 4/2 hours of her time for science and mathematics. How much time does she de
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Given :

Number of hours studied daily , T=5\dfrac{2}{3} .

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Let , time devote for other student is x .

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Therefore , time devote for other subject is 1\dfrac{2}{3} hours .

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There is really no work to be shown unless you do:

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