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3 years ago

Given the function f(x)=3x^2+2 is f^-1(x) a function

Mathematics

1 answer:

vova2212 [387]3 years ago

6 0

Answer:

f^-1(x) is a function

Step-by-step explanation:

To get the inverse you replace f(x) with y, so you get y=3x^2+2. Then you switch your x and y to get x=3y^2+2. Now you want to solve for y, so you subtract two to get x-2=3y^2. You then divide both sides by 3 to get (x-2)/3=y^2. Finally you square root both sides to get y=√((x-2)/3). Now you get that f^-1(x)=√((x-2)/3). When you graph it you can see that the graph passes the vertical line test, so f^-1(x) is a function.

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How are the linear and nonlinear functions the same.

Maslowich

Answer:

linear functions have no exponents higher than 1

Step-by-step explanation:

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3 years ago

The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou

Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as $\sigma^2 = mean = 6.2$

hence, standard deviation is given as $\sqrt{6.2} = 2.48998$

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is

$P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)$

$= \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}$

= 0.002029 + 0.012582+ 0.039006

= 0.053617

= 0.0536

7 0

3 years ago

Where do I put the parentheses for this question 5•2+3-8=17

MatroZZZ [7]

Answer:

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3 years ago

Read 2 more answers

What is the complement and the supplement of 52 degrees

motikmotik

Complimentary angles add up to 90 degrees and supplementary angles add up to 180 degrees...

Complementary angle = 90-52= 38°

Supplementary angle = 180-52= 128°

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3 years ago

What is the unit of time (t) when calculating interest?

Ymorist [56]

Answer:

t = time in decimal years; e.g., 6 months is calculated as 0.5 years. Divide your partial year number of months by 12 to get the decimal years.

Step-by-step explanation:

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2 years ago