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den301095 [7]
3 years ago
15

Find the derivative of the inverse function of the original function f(x)=(x+1)^3-5

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

Step-by-step explanation:

let f(x)=y

y=(x+1)^{3} -5\\flip ~x~and~y\\x=(y+1)^{3}-5\\(y+1)^{3}=x+5\\y=(x+5)^{\frac{1}{3} } -1\\or~f^{-1}(x)=(x+5)^{\frac{1}{3} } -1\\(f^{-1})'(x)=\frac{1}{3} (x+5)^{\frac{-2}{3} }

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I need help please please!!!
wel

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

4 0
3 years ago
2.1 + 3.32 – 1.4 = ? A. 6.82 B. 4.02 C. 5.42 D. 4.2
goblinko [34]
4.02 is the answer., B.
8 0
3 years ago
Read 2 more answers
HELLLPPPPPPP .... The probabilities of a test are represented by I for infected; U, uninfected; D, infection detected; and N, no
Dominik [7]

Answer:

P(I⋂D)

Step-by-step explanation:

The symbolic way to represent the probability of a true positive is P(I⋂D).

We know that I stands for Infected, U stands for Uninfected, D for Infection detected, N for infection no detected.

Then, a true positive will be given by the intersection of Infected and Infection Detected.

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3 years ago
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Consider two people being randomly selected. (For simplicity, ignore leap years.)
inna [77]

Answer:

(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}

Step-by-step explanation:

Part (a) the probability that two people have a birthday on the 9th of any month.

Neglecting leap year, there are 365 days in a year.

There are 12 possible 9th in months that make a year calendar.

If two people have birthday on 9th; P(1st person) and P(2nd person).

=\frac{12}{365} X\frac{12}{365}  = \frac{144}{133225}

Part (b) the probability that two people have a birthday on the same day of the same month

P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on  same day of same month) = 1

P(2 people selected not having birthday on  same day of same month):

= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}

P(2 people selected have birthday on the same day of same month) = 1-\frac{364}{365} \\\\= \frac{1}{365}

7 0
3 years ago
Mrs. Chauvet has an unfair number cube that lands with 6 facing up 40% of the time. Let X = the number of times that she rolls a
goldfiish [28.3K]

Answer:

P(X<1) = .216         P(X</=1) = .648

Step-by-step explanation:

its right

5 0
2 years ago
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