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MrRa [10]
3 years ago
8

Let f--1 = 1/f

Mathematics
1 answer:
Iteru [2.4K]3 years ago
5 0

Answer:

For all real numbers x, define the function f by f(x)=0 if x≠1 and f(1)=2.

Step-by-step explanation:

The domain of f is the set of real numbers (R). To define f^{-1}(x)=1/f(x) at a point x, we need that f(x)≠0 as division by zero is undefined.

However, there is only one point x such that f(x)≠0, the point x=1.

Thus f^{-1}(1)=1/f(1)=1/2 and the domain of f^{-1} is the set {1}.

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Find the inverse. Restrict the domain as necessary.
trasher [3.6K]
The restrictions would be possible x values that could make the function equal 0.
6 0
3 years ago
Read 2 more answers
In previous​ tests, baseballs were dropped 24 feet onto a concrete​ surface, and they bounced an average of 92.82 inches. In a t
goblinko [34]

Answer:

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are​ different

Step-by-step explanation:

Given that in previous​ tests, baseballs were dropped 24 feet onto a concrete​ surface, and they bounced an average of 92.82 inches

But new balls showed mean of 92.6 inches with s = 1.72 inches

Sample size = 23

Since sample size is less than 30 and population std deviation is not know we use t test

H_0: \bar x = 92.82\\H_a: \bar x \neq 92.82

(Two tailed test at 5% significance level)

Mean difference = 92.6-92.82=-1.22

Std error of sample mean = s/sqrt n = \frac{1.72}{\sqrt{23} } \\=0.3586

Test statistic t = mean diff/std error = -3.402

df = 23-1 =22

p value = 0.002559

since p value <5% we reject H0

There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are​ different

3 0
3 years ago
NOT THE SAME 1 FROM BEFORE
masha68 [24]

Answer:

B. 40 ≤ e ≤ 100

Step-by-step explanation:

In a function, the domain values are the independent variables, and are always plotted on the x-axis, while the range values the dependent variables, which are always plotted on the y-axis on a graph.

From the graph given, it shows that f is a function of e. Which is, e(f).

Therefore, the range of the function would be: B. 40 ≤ e ≤ 100

3 0
3 years ago
In a standard deck of cards, what is the probability of drawing a face card?
katrin2010 [14]
<h3>Answer:  0.23</h3>

Reasoning:

There are 12 face cards since there are 3 face cards in any suit, and 4 suits. So 3*4 = 12.

There are 52 cards total.

Dividing the values leads to 12/52 = 0.230769 which rounds to 0.23

6 0
3 years ago
What is the center of the following circle. IMAGE BELOW OR ABOVE ​
Snezhnost [94]

Answer:

(2,4)

Step-by-step explanation:

The formula for a circle is ( x - h )^2 + ( y - k )^2 = r^2

From this formula the center of the circle is always (h,k)

For this question h=2 and k=4 so the center of the circle would be (2,4)

8 0
3 years ago
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