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2 years ago

Find the domain of the inverse of thefollowing functions

Mathematics

2 answers:

luda_lava [24]2 years ago

7 0

Answer:

f(x) = (3x - 7)/5

f^-1(x) = (5y + 7)/3

The DOMAIN is the set of all possible numbers that you can put in for the independent variable and get an answer. If you had g(x) = 1/x, you could NOT put in 0 for x and get an answer because 1/0 is undefined. So the domain is all numbers but 0.

The RANGE is the set of numbers you will get for the dependent variable. If you had g(x) = 1/x, you could NOT get 0 for g(x), no matter what you put in for x. So the range is all numbers but 0.

In both your functions the domain and the range equal all possible numbers. Or all real numbers.

Step-by-step explanation:

Another way to write the answers is:

D = {x | x = R} and R = {f(x) | f(x) = R} where

D = domain, R = range, { } means set, | is such that.

Marizza181 [45]2 years ago

7 0

Answer:

[-2, 4] or {-2, -1, 0, 1, 2, 3, 4}

Step-by-step explanation:

If you invert a func., it's range becomes the domain and it's domain becomes the range. So, if you want the domain of the inverted func, you'll need to find out the range of the original. That is, Domain of Inverse = Range of Original.

Range, pretty much, means the extremities bounds the y-values.

Here, for the original func., the y-extremities are -2 and +4, thus the range is [-2, 4] and hence the domain of the inverted func will be [-2, 4].

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probabili

ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

Mean, $\mu$ = n $\times$ p

= 36 $\times$ 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

Standard deviation, $\sigma$ = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{36 \times 0.75 \times (1-0.75)}$

= $\sqrt{6.75}$ = 2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

$\mu - 2 \sigma$ = 27 - (2 $\times$ 2.6)

= 27 - 5.2 = 21.8

$\mu + 2 \sigma$ = 27 + (2 $\times$ 2.6)

= 27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

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3 years ago

Find the domain of the inverse of thefollowing functions​

Find the domain of the inverse of thefollowing functions