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3 years ago

Find the domain of the inverse function, q−1(x). Express your answer as an inequality.

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

x >=4

Discussion:

The inverse of q is

-1 +\- (x-4)^(1/4) (the fourth root of x-4)

(Inverse found by solving x= (y+1)^4 +4 for y)

The domain of the inverse is therefore x such that x -4 >=0 , i.e. x >=4

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

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For a 95% confidence interval what would the sample size need to be as it's most conservative to have a 2% margin of error

aleksley [76]

Answer:

The size of the sample 'n' = 2401

Step-by-step explanation:

Step:1

Given that the margin of error = 2 % = 0.02

The margin of error is determined by

$M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

we know that the proportion

$\sqrt{p(1-p)} < \frac{1}{2}$

Step:2

The margin of error is determined by

$0.02 = \frac{1.96( \frac{1}{2} ) }{\sqrt{n} }$

$\sqrt{n} = \frac{1.96}{2 X 0.02}$

√n = 49

Squaring on both sides, we get

n = 49 × 49

n = 2401

Final answer:-

The size of the sample 'n' = 2401

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3 years ago

Help i need your math skill It’s hard

jekas [21]

Answer:

1/128th

Step-by-step explanation:

I am not completely sure. Sorry!

Good Luck!

Hope this helps!

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3 years ago

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If f(x)=2x and g(x)=x^2 -1, which statement is true?

choli [55]

Answer: D

Step-by-step explanation:

f(x) = 2x g(x) = x² - 1

f(g(x)) = 2(x² - 1)

= 2x² - 2

g(f(x)) = (2x)² - 1

= 4x² - 1

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3 years ago

2|3xy-4|+x if x= -2 and y = 4

andre [41]

I got 60 for the answer. When you plug the number in you use parentheses.

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3 years ago

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16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) =

erastova [34]

Answer:

$61

Step-by-step explanation:

Given

Number of days, x = 5

Expenditure per day, E'(x) = 10x + 11

Required

Determine the expenditure per day (E'(x))

From the question, we have that

$E'(x) = 10x + 11$

Substitute 5 for x

$E'(5) = 10 * 5 + 11$

$E'(5) = 50 + 11$

$E'(5) = 61$

Hence, the expenditure for 5 days is $61

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3 years ago