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gogolik [260]
3 years ago
8

If f(x) =x-3 then find f^-1 (x)

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:   x+3

The original function tells us to subtract 3 from the input x.

The inverse function will do the exact opposite: it adds 3 to the input x.

You might be interested in
HDTV screens usually have a width-to-heigh ratio of 16:9. Which screen dimensions are in the same proportion?
Lana71 [14]

Answer:

4: 3

Step-by-step explanation:

In this case, we have that there is a relationship between width and height, which is 16: 9, which means that any screen that has the same ratio would be an identical screen.

How would we do this? it must either be raised to a power or rationalized on both sides of the ratio.

If we raise to a power, it would give very large dimensions for an HDTV, therefore, it is best to remove the square root on both sides, since it has more common values for a TV.

\sqrt{16} :\sqrt{9}

4: 3

Therefore, a 4: 3 screen is a good choice for an HDTV with the same ratio.

5 0
3 years ago
Jose has $20 and is saving $6 per week. Ana has $150 and is spending $4 per
Softa [21]
No they wont have the same amount of money ana has more than jose and he’s spending more and wont have enough for the whole week, while ana will have enough and she’s only wasting 4$....
4 0
3 years ago
Please answer this it’s very hard for me
Nimfa-mama [501]

Answer:

C, D, E, F

Step-by-step explanation:

Remember y=mxb?

m is slope and b is y-intercept

so y=2/7x-9

Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.

Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.

Please see the image to help you viualize this.

3 0
3 years ago
There are 15 kittens at the animal shelter, and i want to adopt 2 of them. How many different pairs of 2 are there?
Juli2301 [7.4K]
7

Hope this helped hope you have a good day
8 0
3 years ago
The lifespan (in days) of the common housefly is best modeled using a normal curve having mean 22 days and standard deviation 5.
Natasha_Volkova [10]

Answer:

Yes, it would be unusual.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq -2 or Z \geq 2, the outcome X is considered unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 22, \sigma = 5, n = 25, s = \frac{5}{\sqrt{25}} = 1

Would it be unusual for this sample mean to be less than 19 days?

We have to find Z when X = 19. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{19 - 22}{1}

Z = -3

Z = -3 \leq -2, so yes, the sample mean being less than 19 days would be considered an unusual outcome.

7 0
3 years ago
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