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3 years ago

Given the definitions of f(x) and g(x) below, find the value of (f(g(-3)).

Mathematics

1 answer:

marta [7]3 years ago

8 0

Answer: the answer is A my friend ✨

Step-by-step explanation: I got it right, hope it helps

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Graph the function f(x)=1/2 sqrt(x+1)

goldenfox [79]

The function is defined only if $x+1 \geq 0 \iff x \geq -1$ . So, the leftmost point is $x=-1$ , and we have

$f(-1)=\frac{1}{2}sqrt(-1+1) = 0$

So, the first point is $(-1,0)$

The three additional points seem arbitrary, so let's choose $x=0,1,2$ . We have:

$f(0)=\frac{1}{2}sqrt(0+1) = \frac{1}{2}$

So, the second point is $(0,\frac{1}{2})$

$f(1)=\frac{1}{2}sqrt(1+1) = \frac{\sqrt{2}}{2}$

So, the third point is $(1,\frac{\sqrt{2}}{2})$

$f(2)=\frac{1}{2}sqrt(2+1) = \frac{\sqrt{3}}{2}$

So, the fourth point is $(2,\frac{\sqrt{3}}{2})$

3 0

3 years ago

Classify the following triangle. Check all that apply.

Arlecino [84]

Scalene,Acute i think it is haha

5 0

3 years ago

Read 2 more answers

How do you write out.32ft/sec to meters/min

marta [7]

32 ft
this is meters per second >>> 9.7536

6 0

3 years ago

A test is used to assess readiness for college. In a recent year, the mean test score was 20.3 and the standard deviation was 4

Vlada [557]

Answer:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is higher tor equal to 2.

For this case we have the mean and the deviation given:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

6 0

3 years ago

Solve the equation for x.<br> x<br> 9<br> =

iren [92.7K]

What kind of operation is this ? it just says x and a nine.

3 0

3 years ago