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3 years ago

If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (f circle g) (x)?

Mathematics

2 answers:

Ulleksa [173]3 years ago

8 0

Answer:

28 should be the answer pls.

Step-by-step explanation:

Ket [755]3 years ago

6 0

Answer:

(-∞, ∞)

Step-by-step explanation:

f circle g (x) is another way of expressing f(g(x)). Basically, we have to plug g(x) into f(x) wherever we see x's.

f(x) = x^2 - 1

f(x) = (2x-3)^2 - 1

Now find the domain. I think the easiest way to do this is to graph it. I've attached the graph. You can also do it algebraically by thinking about it: it's a positive parabola (+x^2) and its minimum is -1, so its range will not be all real numbers, but its domain will certainly be. (The range would be answer choice B!)

Domain = (-∞, ∞)

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Flip a coin 20 times. Tell me your experimental probability of flipping heads. ___

pav-90 [236]

Answer:

1/2 is the probability

Step-by-step explanation:

4 0

3 years ago

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Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times

irakobra [83]

Two Consecutive Odd Numbers: D, D+2

(D+2) + 2D = 4D - 27
D + 2 + 2D = 4D - 27
3D + 2 = 4D - 27
3D + 29 = 4D
29 = D

Two Consecutive Odd Numbers are 29, 31

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..................31 + 58 = 116 - 27
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4 0

3 years ago

two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec

Ray Of Light [21]

Answer: There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where $a$ is the the number of apples, $p$ is the number of pears and $o$ is the number of oranges:

1) $a+p=184$

2) $a+o=248$

3) $o=3p$

- You must substitute the equation 3) into the equation 2):

$a+3p=248$

- Now, you need to solve for $p$ in the equation 1) and then you must substitute it into $a+3p=248$ :

$p=184-a$

$a+3(184-a)=248$

- Solve for $a$ , as following:

$a+552-3a=248\\-2a=-304\\a=\frac{-304}{-2}\\a=152$

- Therefore, there are 152 apples.

7 0

3 years ago

What is the best estimate for the product of 289 and 7

navik [9.2K]

The answer is 296 hope it helps

5 0

3 years ago

Find all solutions in the integers of the equation ||x−3|−5| = 10, where the bars indicate absolute value.

Helga [31]

Answer:

x = 18 or x = -12.

Step-by-step explanation:

||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.

3 0

3 years ago